100010601120 has 96 divisors (see below), whose sum is σ = 315164824128. Its totient is φ = 26658367488.

The previous prime is 100010601109. The next prime is 100010601133. The reversal of 100010601120 is 21106010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100010601096 and 100010601105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141932 + ... + 1226388.

It is an arithmetic number, because the mean of its divisors is an integer number (3282966918).

Almost surely, 2^100010601120 is an apocalyptic number.

100010601120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010601120 is an abundant number, since it is smaller than the sum of its proper divisors (215154223008).

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

100010601120 is a wasteful number, since it uses less digits than its factorization.

100010601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86942 (or 86934 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100010601120 its reverse (21106010001), we get a palindrome (121116611121).

The spelling of 100010601120 in words is "one hundred billion, ten million, six hundred one thousand, one hundred twenty".