101301211120 has 80 divisors (see below), whose sum is σ = 239706131040. Its totient is φ = 39802291200.

The previous prime is 101301211111. The next prime is 101301211139. The reversal of 101301211120 is 21112103101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 101301211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6510550 + ... + 6526090.

It is an arithmetic number, because the mean of its divisors is an integer number (2996326638).

Almost surely, 2^101301211120 is an apocalyptic number.

101301211120 is a gapful number since it is divisible by the number (10) 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 101301211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119853065520).

101301211120 is an abundant number, since it is smaller than the sum of its proper divisors (138404919920).

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

101301211120 is a wasteful number, since it uses less digits than its factorization.

101301211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16994 (or 16988 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101301211120 its reverse (21112103101), we get a palindrome (122413314221).

The spelling of 101301211120 in words is "one hundred one billion, three hundred one million, two hundred eleven thousand, one hundred twenty".