212210211010100 has 72 divisors (see below), whose sum is σ = 464099389488000. Its totient is φ = 84222270633600.

The previous prime is 212210211010073. The next prime is 212210211010151. The reversal of 212210211010100 is 1010112012212.

It is a congruent number.

It is an unprimeable number.

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, 7708031 + ... + 21996230.

It is an arithmetic number, because the mean of its divisors is an integer number (6445824854000).

Almost surely, 2^{212210211010100} is an apocalyptic number.

212210211010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210211010100 is an abundant number, since it is smaller than the sum of its proper divisors (251889178477900).

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

212210211010100 is a wasteful number, since it uses less digits than its factorization.

212210211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29704833 (or 29704826 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212210211010100 its reverse (1010112012212), we get a palindrome (213220323022312).

The spelling of 212210211010100 in words is "two hundred twelve trillion, two hundred ten billion, two hundred eleven million, ten thousand, one hundred".