120002010110100 has 108 divisors (see below), whose sum is σ = 376142331258876. Its totient is φ = 32000306549760.

The previous prime is 120002010110071. The next prime is 120002010110209. The reversal of 120002010110100 is 1011010200021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 498371050116 + 119503639059984 = 705954^2 + 10931772^2 .

It is a super-2 number, since 2×120002010110100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152150364 + ... + 152937036.

Almost surely, 2^{120002010110100} is an apocalyptic number.

120002010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002010110100 is an abundant number, since it is smaller than the sum of its proper divisors (256140321148776).

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

120002010110100 is a wasteful number, since it uses less digits than its factorization.

120002010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956186 (or 956176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120002010110100 its reverse (1011010200021), we get a palindrome (121013020310121).

The spelling of 120002010110100 in words is "one hundred twenty trillion, two billion, ten million, one hundred ten thousand, one hundred".