221013230102100 has 216 divisors, whose sum is σ = 753328340259768. Its totient is φ = 53970798182400.

The previous prime is 221013230102053. The next prime is 221013230102129. The reversal of 221013230102100 is 1201032310122.

221013230102100 is a `hidden beast` number, since 2 + 21 + 0 + 132 + 301 + 0 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1653374218896 + 219359855883204 = 1285836^2 + 14810802^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194640781 + ... + 195772980.

Almost surely, 2^{221013230102100} is an apocalyptic number.

221013230102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221013230102100 is an abundant number, since it is smaller than the sum of its proper divisors (532315110157668).

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

221013230102100 is a wasteful number, since it uses less digits than its factorization.

221013230102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390413835 (or 390413825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221013230102100 its reverse (1201032310122), we get a palindrome (222214262412222).

The spelling of 221013230102100 in words is "two hundred twenty-one trillion, thirteen billion, two hundred thirty million, one hundred two thousand, one hundred".