10100020111220 has 96 divisors (see below), whose sum is σ = 22980208694688. Its totient is φ = 3706617987072.

The previous prime is 10100020111217. The next prime is 10100020111231. The reversal of 10100020111220 is 2211102000101.

10100020111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2844086619364 + 7255933491856 = 1686442^2 + 2693684^2 .

It is a super-2 number, since 2×10100020111220² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 166260692 + ... + 166321428.

It is an arithmetic number, because the mean of its divisors is an integer number (239377173903).

Almost surely, 2^{10100020111220} is an apocalyptic number.

10100020111220 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 10100020111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490104347344).

10100020111220 is an abundant number, since it is smaller than the sum of its proper divisors (12880188583468).

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

10100020111220 is a wasteful number, since it uses less digits than its factorization.

10100020111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64629 (or 64627 counting only the distinct ones).

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

Adding to 10100020111220 its reverse (2211102000101), we get a palindrome (12311122111321).

The spelling of 10100020111220 in words is "ten trillion, one hundred billion, twenty million, one hundred eleven thousand, two hundred twenty".