10100010000102 has 64 divisors (see below), whose sum is σ = 22776116937984. Its totient is φ = 2958922362240.

The previous prime is 10100010000097. The next prime is 10100010000137. The reversal of 10100010000102 is 20100001000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12788448 + ... + 13555235.

It is an arithmetic number, because the mean of its divisors is an integer number (355876827156).

Almost surely, 2^{10100010000102} is an apocalyptic number.

10100010000102 is an abundant number, since it is smaller than the sum of its proper divisors (12676106937882).

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

10100010000102 is a wasteful number, since it uses less digits than its factorization.

10100010000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26343893.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100010000102 its reverse (20100001000101), we get a palindrome (30200011000203).

Subtracting 10100010000102 from its reverse (20100001000101), we obtain a palindrome (9999990999999).

The spelling of 10100010000102 in words is "ten trillion, one hundred billion, ten million, one hundred two", and thus it is an aban number.