101210101120 has 64 divisors (see below), whose sum is σ = 256188096000. Its totient is φ = 38102622208.

The previous prime is 101210101081. The next prime is 101210101219. The reversal of 101210101120 is 21101012101.

101210101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101210101097 and 101210101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4640320 + ... + 4662079.

It is an arithmetic number, because the mean of its divisors is an integer number (4002939000).

Almost surely, 2^101210101120 is an apocalyptic number.

101210101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210101120 is an abundant number, since it is smaller than the sum of its proper divisors (154977994880).

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

101210101120 is an equidigital number, since it uses as much as digits as its factorization.

101210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302435 (or 9302423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210101120 its reverse (21101012101), we get a palindrome (122311113221).

The spelling of 101210101120 in words is "one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twenty".