101000110002002 has 32 divisors (see below), whose sum is σ = 156238170810624. Its totient is φ = 48938343120000.

The previous prime is 101000110001783. The next prime is 101000110002013. The reversal of 101000110002002 is 200200011000101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868028 + ... + 14239160.

It is an arithmetic number, because the mean of its divisors is an integer number (4882442837832).

Almost surely, 2^{101000110002002} is an apocalyptic number.

101000110002002 is a deficient number, since it is larger than the sum of its proper divisors (55238060808622).

101000110002002 is a wasteful number, since it uses less digits than its factorization.

101000110002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371794.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000110002002 its reverse (200200011000101), we get a palindrome (301200121002103).

The spelling of 101000110002002 in words is "one hundred one trillion, one hundred ten million, two thousand, two".