10010211212120 has 64 divisors (see below), whose sum is σ = 26859697182720. Its totient is φ = 3282851873664.

The previous prime is 10010211212117. The next prime is 10010211212123. The reversal of 10010211212120 is 2121211201001.

10010211212120 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 (10010211212117) and next prime (10010211212123).

It is a super-2 number, since 2×10010211212120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10010211212095 and 10010211212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010211212123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777183872 + ... + 777196751.

It is an arithmetic number, because the mean of its divisors is an integer number (419682768480).

Almost surely, 2^{10010211212120} is an apocalyptic number.

10010211212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010211212120 is an abundant number, since it is smaller than the sum of its proper divisors (16849485970600).

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

10010211212120 is a wasteful number, since it uses less digits than its factorization.

10010211212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554380664 (or 1554380660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10010211212120 its reverse (2121211201001), we get a palindrome (12131422413121).

The spelling of 10010211212120 in words is "ten trillion, ten billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".