212211010122100 has 144 divisors (see below), whose sum is σ = 505304403448320. Its totient is φ = 76715625484800.

The previous prime is 212211010122073. The next prime is 212211010122113. The reversal of 212211010122100 is 1221010112212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993954461 + ... + 2994025339.

It is an arithmetic number, because the mean of its divisors is an integer number (3509058357280).

Almost surely, 2^{212211010122100} is an apocalyptic number.

212211010122100 is a gapful number since it is divisible by the number (20) 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 212211010122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252652201724160).

212211010122100 is an abundant number, since it is smaller than the sum of its proper divisors (293093393326220).

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

212211010122100 is a wasteful number, since it uses less digits than its factorization.

212211010122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86810 (or 86803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211010122100 its reverse (1221010112212), we get a palindrome (213432020234312).

The spelling of 212211010122100 in words is "two hundred twelve trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand, one hundred".