212011122022100 has 72 divisors (see below), whose sum is σ = 460403588227128. Its totient is φ = 84741899673600.

The previous prime is 212011122022097. The next prime is 212011122022153. The reversal of 212011122022100 is 1220221110212.

It can be written as a sum of positive squares in 12 ways, for example, as 96076028178244 + 115935093843856 = 9801838^2 + 10767316^2 .

It is a super-2 number, since 2×212011122022100² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 754205174 + ... + 754486226.

Almost surely, 2^{212011122022100} is an apocalyptic number.

212011122022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011122022100 is an abundant number, since it is smaller than the sum of its proper divisors (248392466205028).

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

212011122022100 is a wasteful number, since it uses less digits than its factorization.

212011122022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286605 (or 286598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212011122022100 its reverse (1220221110212), we get a palindrome (213231343132312).

The spelling of 212011122022100 in words is "two hundred twelve trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred".