102201402100 has 54 divisors (see below), whose sum is σ = 257985551670. Its totient is φ = 35040479040.

The previous prime is 102201402029. The next prime is 102201402101. The reversal of 102201402100 is 1204102201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 53406864 + 102147995236 = 7308^2 + 319606^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201402101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10423815 + ... + 10433614.

Almost surely, 2^102201402100 is an apocalyptic number.

102201402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201402100 is an abundant number, since it is smaller than the sum of its proper divisors (155784149570).

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

102201402100 is a wasteful number, since it uses less digits than its factorization.

102201402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20857457 (or 20857443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102201402100 its reverse (1204102201), we get a palindrome (103405504301).

The spelling of 102201402100 in words is "one hundred two billion, two hundred one million, four hundred two thousand, one hundred".