101000102101002 has 48 divisors (see below), whose sum is σ = 235988415405288. Its totient is φ = 31034557503360.

The previous prime is 101000102100991. The next prime is 101000102101043. The reversal of 101000102101002 is 200101201000101.

It is a happy number.

101000102101002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100802824883721 + 197277217281 = 10040061^2 + 444159^2 .

It is a super-2 number, since 2×101000102101002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294251649 + ... + 294594692.

Almost surely, 2^{101000102101002} is an apocalyptic number.

101000102101002 is an abundant number, since it is smaller than the sum of its proper divisors (134988313304286).

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

101000102101002 is a wasteful number, since it uses less digits than its factorization.

101000102101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588847095 (or 588847092 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000102101002 its reverse (200101201000101), we get a palindrome (301101303101103).

The spelling of 101000102101002 in words is "one hundred one trillion, one hundred two million, one hundred one thousand, two".