211212120120100 has 72 divisors (see below), whose sum is σ = 504947154188736. Its totient is φ = 76043967600000.

The previous prime is 211212120120083. The next prime is 211212120120107. The reversal of 211212120120100 is 1021021212112.

It is a super-2 number, since 2×211212120120100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212120120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950438496 + ... + 950660695.

It is an arithmetic number, because the mean of its divisors is an integer number (7013154919288).

Almost surely, 2^{211212120120100} is an apocalyptic number.

211212120120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212120120100 is an abundant number, since it is smaller than the sum of its proper divisors (293735034068636).

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

211212120120100 is a wasteful number, since it uses less digits than its factorization.

211212120120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901099317 (or 1901099310 counting only the distinct ones).

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

Adding to 211212120120100 its reverse (1021021212112), we get a palindrome (212233141332212).

The spelling of 211212120120100 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty thousand, one hundred".