120110100020 has 96 divisors (see below), whose sum is σ = 262517625216. Its totient is φ = 46126080000.

The previous prime is 120110100001. The next prime is 120110100041. The reversal of 120110100020 is 20001011021.

It is a super-2 number, since 2×120110100020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120110099980 and 120110100007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30018020 + ... + 30022020.

It is an arithmetic number, because the mean of its divisors is an integer number (2734558596).

Almost surely, 2^120110100020 is an apocalyptic number.

120110100020 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 120110100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131258812608).

120110100020 is an abundant number, since it is smaller than the sum of its proper divisors (142407525196).

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

120110100020 is a wasteful number, since it uses less digits than its factorization.

120110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120110100020 its reverse (20001011021), we get a palindrome (140111111041).

The spelling of 120110100020 in words is "one hundred twenty billion, one hundred ten million, one hundred thousand, twenty".