10211010100120 has 32 divisors (see below), whose sum is σ = 23178089308320. Its totient is φ = 4048258869760.

The previous prime is 10211010100111. The next prime is 10211010100129. The reversal of 10211010100120 is 2100101011201.

10211010100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10211010100111) and next prime (10211010100129).

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 = 10211010100097 and 10211010100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211010100129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129531996 + ... + 1129541035.

It is an arithmetic number, because the mean of its divisors is an integer number (724315290885).

Almost surely, 2^{10211010100120} is an apocalyptic number.

10211010100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211010100120 is an abundant number, since it is smaller than the sum of its proper divisors (12967079208200).

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

10211010100120 is a wasteful number, since it uses less digits than its factorization.

10211010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259073155 (or 2259073151 counting only the distinct ones).

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

Adding to 10211010100120 its reverse (2100101011201), we get a palindrome (12311111111321).

The spelling of 10211010100120 in words is "ten trillion, two hundred eleven billion, ten million, one hundred thousand, one hundred twenty".