212112220110100 has 36 divisors (see below), whose sum is σ = 460285476433468. Its totient is φ = 84844526976000.

The previous prime is 212112220110053. The next prime is 212112220110139. The reversal of 212112220110100 is 1011022211212.

It can be written as a sum of positive squares in 6 ways, for example, as 31377160747024 + 180735059363076 = 5601532^2 + 13443774^2 .

It is a super-2 number, since 2×212112220110100² (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 11 ways as a sum of consecutive naturals, for example, 19751470 + ... + 28536730.

Almost surely, 2^{212112220110100} is an apocalyptic number.

212112220110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112220110100 is an abundant number, since it is smaller than the sum of its proper divisors (248173256323368).

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

212112220110100 is a wasteful number, since it uses less digits than its factorization.

212112220110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026716 (or 9026709 counting only the distinct ones).

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

Adding to 212112220110100 its reverse (1011022211212), we get a palindrome (213123242321312).

The spelling of 212112220110100 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty million, one hundred ten thousand, one hundred".