102121020002000 has 80 divisors (see below), whose sum is σ = 250976636932944. Its totient is φ = 40178761920000.

The previous prime is 102121020001997. The next prime is 102121020002011. The reversal of 102121020002000 is 200020121201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44322892111936 + 57798127890064 = 6657544^2 + 7602508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 418406771 + ... + 418650770.

Almost surely, 2^{102121020002000} is an apocalyptic number.

102121020002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121020002000 is an abundant number, since it is smaller than the sum of its proper divisors (148855616930944).

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

102121020002000 is an equidigital number, since it uses as much as digits as its factorization.

102121020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837057625 (or 837057609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102121020002000 its reverse (200020121201), we get a palindrome (102321040123201).

The spelling of 102121020002000 in words is "one hundred two trillion, one hundred twenty-one billion, twenty million, two thousand".