101012111002002 has 16 divisors (see below), whose sum is σ = 202024437718752. Its totient is φ = 33670667714880.

The previous prime is 101012111001947. The next prime is 101012111002057. The reversal of 101012111002002 is 200200111210101.

It is an interprime number because it is at equal distance from previous prime (101012111001947) and next prime (101012111002057).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2545399 + ... + 14439642.

It is an arithmetic number, because the mean of its divisors is an integer number (12626527357422).

Almost surely, 2^{101012111002002} is an apocalyptic number.

101012111002002 is an abundant number, since it is smaller than the sum of its proper divisors (101012326716750).

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

101012111002002 is a wasteful number, since it uses less digits than its factorization.

101012111002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17976233.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012111002002 its reverse (200200111210101), we get a palindrome (301212222212103).

The spelling of 101012111002002 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two thousand, two".