101100100010002 has 64 divisors (see below), whose sum is σ = 159215277957120. Its totient is φ = 48056307868800.

The previous prime is 101100100009963. The next prime is 101100100010033. The reversal of 101100100010002 is 200010001001101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12282841227 + ... + 12282849457.

It is an arithmetic number, because the mean of its divisors is an integer number (2487738718080).

Almost surely, 2^{101100100010002} is an apocalyptic number.

101100100010002 is a deficient number, since it is larger than the sum of its proper divisors (58115177947118).

101100100010002 is a wasteful number, since it uses less digits than its factorization.

101100100010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101100100010002 its reverse (200010001001101), we get a palindrome (301110101011103).

The spelling of 101100100010002 in words is "one hundred one trillion, one hundred billion, one hundred million, ten thousand, two".