120011022100 has 72 divisors (see below), whose sum is σ = 267762612096. Its totient is φ = 46660320000.

The previous prime is 120011022097. The next prime is 120011022127. The reversal of 120011022100 is 1220110021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057095 + ... + 1165105.

It is an arithmetic number, because the mean of its divisors is an integer number (3718925168).

Almost surely, 2^120011022100 is an apocalyptic number.

120011022100 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 120011022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133881306048).

120011022100 is an abundant number, since it is smaller than the sum of its proper divisors (147751589996).

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

120011022100 is a wasteful number, since it uses less digits than its factorization.

120011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108337 (or 108330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120011022100 its reverse (1220110021), we get a palindrome (121231132121).

The spelling of 120011022100 in words is "one hundred twenty billion, eleven million, twenty-two thousand, one hundred".