102112100001007 has 4 divisors (see below), whose sum is σ = 102891581680536. Its totient is φ = 101332618321480.

The previous prime is 102112100000993. The next prime is 102112100001031. The reversal of 102112100001007 is 700100001211201.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 102112100001007 - 2¹⁵ = 102112099968239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100001047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 389740839568 + ... + 389740839829.

It is an arithmetic number, because the mean of its divisors is an integer number (25722895420134).

Almost surely, 2^{102112100001007} is an apocalyptic number.

102112100001007 is a deficient number, since it is larger than the sum of its proper divisors (779481679529).

102112100001007 is an equidigital number, since it uses as much as digits as its factorization.

102112100001007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779481679528.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 102112100001007 its reverse (700100001211201), we get a palindrome (802212101212208).

The spelling of 102112100001007 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one thousand, seven".