102201211100020 has 48 divisors (see below), whose sum is σ = 227268818996688. Its totient is φ = 38472123361280.

The previous prime is 102201211099919. The next prime is 102201211100069. The reversal of 102201211100020 is 20001112102201.

It can be written as a sum of positive squares in 8 ways, for example, as 16874645231376 + 85326565868644 = 4107876^2 + 9237238^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10553071 + ... + 17769910.

It is an arithmetic number, because the mean of its divisors is an integer number (4734767062431).

Almost surely, 2^{102201211100020} is an apocalyptic number.

102201211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201211100020 is an abundant number, since it is smaller than the sum of its proper divisors (125067607896668).

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

102201211100020 is a wasteful number, since it uses less digits than its factorization.

102201211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28333620 (or 28333618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201211100020 its reverse (20001112102201), we get a palindrome (122202323202221).

The spelling of 102201211100020 in words is "one hundred two trillion, two hundred one billion, two hundred eleven million, one hundred thousand, twenty".