221013202200102 has 192 divisors, whose sum is σ = 579113724099456. Its totient is φ = 60217423073280.

The previous prime is 221013202200061. The next prime is 221013202200143. The reversal of 221013202200102 is 201002202310122.

221013202200102 is a `hidden beast` number, since 2 + 21 + 0 + 1 + 320 + 220 + 0 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (221013202200061) and next prime (221013202200143).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14218893 + ... + 25381160.

It is an arithmetic number, because the mean of its divisors is an integer number (3016217313018).

Almost surely, 2^{221013202200102} is an apocalyptic number.

221013202200102 is an abundant number, since it is smaller than the sum of its proper divisors (358100521899354).

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

221013202200102 is a wasteful number, since it uses less digits than its factorization.

221013202200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39600175 (or 39600172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221013202200102 its reverse (201002202310122), we get a palindrome (422015404510224).

The spelling of 221013202200102 in words is "two hundred twenty-one trillion, thirteen billion, two hundred two million, two hundred thousand, one hundred two".