102021002101000 has 32 divisors (see below), whose sum is σ = 238729144918680. Its totient is φ = 40808400840000.

The previous prime is 102021002100991. The next prime is 102021002101001. The reversal of 102021002101000 is 101200120201.

It can be written as a sum of positive squares in 4 ways, for example, as 4024188457444 + 97996813643556 = 2006038^2 + 9899334^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102021002101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51010500051 + ... + 51010502050.

Almost surely, 2^{102021002101000} is an apocalyptic number.

102021002101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021002101000 is an abundant number, since it is smaller than the sum of its proper divisors (136708142817680).

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

102021002101000 is a wasteful number, since it uses less digits than its factorization.

102021002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102021002122 (or 102021002108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102021002101000 its reverse (101200120201), we get a palindrome (102122202221201).

The spelling of 102021002101000 in words is "one hundred two trillion, twenty-one billion, two million, one hundred one thousand".