21101312232000 has 5376 divisors, whose sum is σ = 107177977460736. Its totient is φ = 3822059520000.

The previous prime is 21101312231971. The next prime is 21101312232023. The reversal of 21101312232000 is 23221310112.

21101312232000 is a `hidden beast` number, since 2 + 110 + 131 + 223 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 109333223904 + ... + 109333224096.

It is an arithmetic number, because the mean of its divisors is an integer number (19936379736).

Almost surely, 2^{21101312232000} is an apocalyptic number.

21101312232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101312232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53588988730368).

21101312232000 is an abundant number, since it is smaller than the sum of its proper divisors (86076665228736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21101312232000 is a wasteful number, since it uses less digits than its factorization.

21101312232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21101312232000 its reverse (23221310112), we get a palindrome (21124533542112).

It can be divided in two parts, 21101312 and 232000, that added together give a palindrome (21333312).

The spelling of 21101312232000 in words is "twenty-one trillion, one hundred one billion, three hundred twelve million, two hundred thirty-two thousand".