102122100202000 has 40 divisors (see below), whose sum is σ = 246931238293272. Its totient is φ = 40848840080000.

The previous prime is 102122100201973. The next prime is 102122100202039. The reversal of 102122100202000 is 202001221201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4553221933584 + 97568878268416 = 2133828^2 + 9877696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25530523051 + ... + 25530527050.

Almost surely, 2^{102122100202000} is an apocalyptic number.

102122100202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122100202000 is an abundant number, since it is smaller than the sum of its proper divisors (144809138091272).

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

102122100202000 is an equidigital number, since it uses as much as digits as its factorization.

102122100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51061050124 (or 51061050108 counting only the distinct ones).

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

Adding to 102122100202000 its reverse (202001221201), we get a palindrome (102324101423201).

The spelling of 102122100202000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred million, two hundred two thousand".