10001012102120 has 128 divisors (see below), whose sum is σ = 25126762096800. Its totient is φ = 3557111169024.

The previous prime is 10001012102111. The next prime is 10001012102141. The reversal of 10001012102120 is 2120121010001.

It can be written as a sum of positive squares in 16 ways, for example, as 9002593924 + 9992009508196 = 94882^2 + 3161014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5763824 + ... + 7295456.

Almost surely, 2^{10001012102120} is an apocalyptic number.

10001012102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001012102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563381048400).

10001012102120 is an abundant number, since it is smaller than the sum of its proper divisors (15125749994680).

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

10001012102120 is a wasteful number, since it uses less digits than its factorization.

10001012102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532119 (or 1532115 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001012102120 its reverse (2120121010001), we get a palindrome (12121133112121).

The spelling of 10001012102120 in words is "ten trillion, one billion, twelve million, one hundred two thousand, one hundred twenty".