10100101120 has 52 divisors (see below), whose sum is σ = 24237332820. Its totient is φ = 4040032256.

The previous prime is 10100101117. The next prime is 10100101163. The reversal of 10100101120 is 2110100101.

It can be written as a sum of positive squares in 2 ways, for example, as 1116094464 + 8984006656 = 33408^2 + 94784^2 .

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, 226105 + ... + 267064.

Almost surely, 2^10100101120 is an apocalyptic number.

10100101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101120 is an abundant number, since it is smaller than the sum of its proper divisors (14137231700).

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

10100101120 is an frugal number, since it uses more digits than its factorization.

10100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493198 (or 493176 counting only the distinct ones).

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

Adding to 10100101120 its reverse (2110100101), we get a palindrome (12210201221).

The spelling of 10100101120 in words is "ten billion, one hundred million, one hundred one thousand, one hundred twenty".