221021211012100 has 18 divisors (see below), whose sum is σ = 479616027896474. Its totient is φ = 88408484404800.

The previous prime is 221021211012067. The next prime is 221021211012101. The reversal of 221021211012100 is 1210112120122.

It can be written as a sum of positive squares in 3 ways, for example, as 847132478404 + 220174078533696 = 920398^2 + 14838264^2 .

It is not an unprimeable number, because it can be changed into a prime (221021211012101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105106054961 + ... + 1105106055160.

Almost surely, 2^{221021211012100} is an apocalyptic number.

221021211012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021211012100 is an abundant number, since it is smaller than the sum of its proper divisors (258594816884374).

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

221021211012100 is a wasteful number, since it uses less digits than its factorization.

221021211012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210212110135 (or 2210212110128 counting only the distinct ones).

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

Adding to 221021211012100 its reverse (1210112120122), we get a palindrome (222231323132222).

The spelling of 221021211012100 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred".