102000102101002 has 16 divisors (see below), whose sum is σ = 175344385633920. Its totient is φ = 43592562535248.

The previous prime is 102000102100951. The next prime is 102000102101113. The reversal of 102000102101002 is 200101201000201.

It is a super-2 number, since 2×102000102101002² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102000102101002.

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 7 ways as a sum of consecutive naturals, for example, 10147239513 + ... + 10147249564.

It is an arithmetic number, because the mean of its divisors is an integer number (10959024102120).

Almost surely, 2^{102000102101002} is an apocalyptic number.

102000102101002 is a deficient number, since it is larger than the sum of its proper divisors (73344283532918).

102000102101002 is a wasteful number, since it uses less digits than its factorization.

102000102101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20294489445.

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

Adding to 102000102101002 its reverse (200101201000201), we get a palindrome (302101303101203).

The spelling of 102000102101002 in words is "one hundred two trillion, one hundred two million, one hundred one thousand, two".