10100210010120 has 96 divisors (see below), whose sum is σ = 32851756828800. Its totient is φ = 2691249906816.

The previous prime is 10100210010119. The next prime is 10100210010161. The reversal of 10100210010120 is 2101001200101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10688992 + ... + 11595471.

It is an arithmetic number, because the mean of its divisors is an integer number (342205800300).

Almost surely, 2^{10100210010120} is an apocalyptic number.

10100210010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100210010120 is an abundant number, since it is smaller than the sum of its proper divisors (22751546818680).

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

10100210010120 is a wasteful number, since it uses less digits than its factorization.

10100210010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285739 (or 22285732 counting only the distinct ones).

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

Adding to 10100210010120 its reverse (2101001200101), we get a palindrome (12201211210221).

The spelling of 10100210010120 in words is "ten trillion, one hundred billion, two hundred ten million, ten thousand, one hundred twenty".