120001210110100 has 54 divisors (see below), whose sum is σ = 286227679779902. Its totient is φ = 43636803672000.

The previous prime is 120001210110073. The next prime is 120001210110127. The reversal of 120001210110100 is 1011012100021.

It is an interprime number because it is at equal distance from previous prime (120001210110073) and next prime (120001210110127).

It can be written as a sum of positive squares in 3 ways, for example, as 669094552324 + 119332115557776 = 817982^2 + 10923924^2 .

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 17 ways as a sum of consecutive naturals, for example, 4958715591 + ... + 4958739790.

Almost surely, 2^{120001210110100} is an apocalyptic number.

120001210110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001210110100 is an abundant number, since it is smaller than the sum of its proper divisors (166226469669802).

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

120001210110100 is a wasteful number, since it uses less digits than its factorization.

120001210110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9917455417 (or 9917455399 counting only the distinct ones).

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

Adding to 120001210110100 its reverse (1011012100021), we get a palindrome (121012222210121).

The spelling of 120001210110100 in words is "one hundred twenty trillion, one billion, two hundred ten million, one hundred ten thousand, one hundred".