102112011000001 has 16 divisors (see below), whose sum is σ = 109255784798160. Its totient is φ = 95095753676800.

The previous prime is 102112010999987. The next prime is 102112011000053. The reversal of 102112011000001 is 100000110211201.

It can be written as a sum of positive squares in 8 ways, for example, as 1799286890625 + 100312724109376 = 1341375^2 + 10015624^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112011000001 - 2¹⁵ = 102112010967233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112011300001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15353956 + ... + 20975413.

It is an arithmetic number, because the mean of its divisors is an integer number (6828486549885).

Almost surely, 2^{102112011000001} is an apocalyptic number.

It is an amenable number.

102112011000001 is a deficient number, since it is larger than the sum of its proper divisors (7143773798159).

102112011000001 is a wasteful number, since it uses less digits than its factorization.

102112011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36331124.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102112011000001 its reverse (100000110211201), we get a palindrome (202112121211202).

It can be divided in two parts, 10211201 and 1000001, that multiplied together give a palindrome (10211211211201).

The spelling of 102112011000001 in words is "one hundred two trillion, one hundred twelve billion, eleven million, one", and thus it is an aban number.