102202000222100 has 108 divisors (see below), whose sum is σ = 226746341422524. Its totient is φ = 39983878824960.

The previous prime is 102202000222087. The next prime is 102202000222121. The reversal of 102202000222100 is 1222000202201.

It can be written as a sum of positive squares in 6 ways, for example, as 511676979856 + 101690323242244 = 715316^2 + 10084162^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67830524 + ... + 69320876.

Almost surely, 2^{102202000222100} is an apocalyptic number.

102202000222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202000222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113373170711262).

102202000222100 is an abundant number, since it is smaller than the sum of its proper divisors (124544341200424).

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

102202000222100 is a wasteful number, since it uses less digits than its factorization.

102202000222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490682 (or 1490616 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202000222100 its reverse (1222000202201), we get a palindrome (103424000424301).

The spelling of 102202000222100 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-two thousand, one hundred".