102201696100 has 81 divisors (see below), whose sum is σ = 258042783033. Its totient is φ = 35032908960.

The previous prime is 102201696097. The next prime is 102201696127. The reversal of 102201696100 is 1696102201.

The square root of 102201696100 is 319690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36792610596 + 65409085504 = 191814^2 + 255752^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22376017 + ... + 22380583.

Almost surely, 2^102201696100 is an apocalyptic number.

102201696100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201696100 is the 319690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201696100

102201696100 is an abundant number, since it is smaller than the sum of its proper divisors (155841086933).

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

102201696100 is an frugal number, since it uses more digits than its factorization.

102201696100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Multiplying 102201696100 by its product of nonzero digits (1296), we get a square (132453398145600 = 11508840²).

Adding to 102201696100 its reverse (1696102201), we get a palindrome (103897798301).

The spelling of 102201696100 in words is "one hundred two billion, two hundred one million, six hundred ninety-six thousand, one hundred".