120001110000100 has 54 divisors (see below), whose sum is σ = 302917087684050. Its totient is φ = 41143237712640.

The previous prime is 120001110000077. The next prime is 120001110000151. The reversal of 120001110000100 is 1000011100021.

It can be written as a sum of positive squares in 3 ways, for example, as 20983840164 + 119980126159936 = 144858^2 + 10953544^2 .

It is a super-2 number, since 2×120001110000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 12245006325 + ... + 12245016124.

Almost surely, 2^{120001110000100} is an apocalyptic number.

120001110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001110000100 is an abundant number, since it is smaller than the sum of its proper divisors (182915977683950).

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

120001110000100 is a wasteful number, since it uses less digits than its factorization.

120001110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24490022477 (or 24490022463 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 120001110000100 its reverse (1000011100021), we get a palindrome (121001121100121).

The spelling of 120001110000100 in words is "one hundred twenty trillion, one billion, one hundred ten million, one hundred", and thus it is an aban number.