101221212132 has 72 divisors (see below), whose sum is σ = 269189407032. Its totient is φ = 32027788800.

The previous prime is 101221212089. The next prime is 101221212137. The reversal of 101221212132 is 231212122101.

101221212132 is a `hidden beast` number, since 101 + 221 + 212 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7699009536 + 93522202596 = 87744^2 + 305814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101221212137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872119 + ... + 981342.

Almost surely, 2^101221212132 is an apocalyptic number.

101221212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221212132 is an abundant number, since it is smaller than the sum of its proper divisors (167968194900).

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

101221212132 is a wasteful number, since it uses less digits than its factorization.

101221212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853549 (or 1853544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101221212132 its reverse (231212122101), we get a palindrome (332433334233).

The spelling of 101221212132 in words is "one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, one hundred thirty-two".