102201010100 has 108 divisors (see below), whose sum is σ = 258991571916. Its totient is φ = 34903572480.

The previous prime is 102201010097. The next prime is 102201010139. The reversal of 102201010100 is 1010102201.

It can be written as a sum of positive squares in 6 ways, for example, as 1257553444 + 100943456656 = 35462^2 + 317716^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1218722 + ... + 1299878.

Almost surely, 2^102201010100 is an apocalyptic number.

102201010100 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 102201010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129495785958).

102201010100 is an abundant number, since it is smaller than the sum of its proper divisors (156790561816).

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

102201010100 is a wasteful number, since it uses less digits than its factorization.

102201010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81442 (or 81428 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102201010100 its reverse (1010102201), we get a palindrome (103211112301).

The spelling of 102201010100 in words is "one hundred two billion, two hundred one million, ten thousand, one hundred".