100010101120120 has 16 divisors (see below), whose sum is σ = 225022727520360. Its totient is φ = 40004040448032.

The previous prime is 100010101120081. The next prime is 100010101120147. The reversal of 100010101120120 is 21021101010001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100010101120097 and 100010101120106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1250126263962 + ... + 1250126264041.

Almost surely, 2^{100010101120120} is an apocalyptic number.

100010101120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010101120120 is an abundant number, since it is smaller than the sum of its proper divisors (125012626400240).

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

100010101120120 is a wasteful number, since it uses less digits than its factorization.

100010101120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500252528014 (or 2500252528010 counting only the distinct ones).

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

Adding to 100010101120120 its reverse (21021101010001), we get a palindrome (121031202130121).

The spelling of 100010101120120 in words is "one hundred trillion, ten billion, one hundred one million, one hundred twenty thousand, one hundred twenty".