221210120012100 has 72 divisors (see below), whose sum is σ = 640046841130368. Its totient is φ = 58988238403200.

The previous prime is 221210120012093. The next prime is 221210120012107. The reversal of 221210120012100 is 1210021012122.

It is an interprime number because it is at equal distance from previous prime (221210120012093) and next prime (221210120012107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221210120012100.

It is not an unprimeable number, because it can be changed into a prime (221210120012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8745237 + ... + 22779363.

It is an arithmetic number, because the mean of its divisors is an integer number (8889539460144).

Almost surely, 2^{221210120012100} is an apocalyptic number.

221210120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210120012100 is an abundant number, since it is smaller than the sum of its proper divisors (418836721118268).

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

221210120012100 is a wasteful number, since it uses less digits than its factorization.

221210120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086685 (or 14086678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221210120012100 its reverse (1210021012122), we get a palindrome (222420141024222).

The spelling of 221210120012100 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred twenty million, twelve thousand, one hundred".