102012200000001 has 24 divisors (see below), whose sum is σ = 149767479215016. Its totient is φ = 66892828631040.

The previous prime is 102012199999921. The next prime is 102012200000077. The reversal of 102012200000001 is 100000002210201.

It can be written as a sum of positive squares in 4 ways, for example, as 639118703601 + 101373081296400 = 799449^2 + 10068420^2 .

It is not a de Polignac number, because 102012200000001 - 2¹⁹ = 102012199475713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102012200040001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105019521 + ... + 105986433.

It is an arithmetic number, because the mean of its divisors is an integer number (6240311633959).

Almost surely, 2^{102012200000001} is an apocalyptic number.

It is an amenable number.

102012200000001 is a deficient number, since it is larger than the sum of its proper divisors (47755279215015).

102012200000001 is a wasteful number, since it uses less digits than its factorization.

102012200000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159153 (or 1159150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012200000001 its reverse (100000002210201), we get a palindrome (202012202210202).

The spelling of 102012200000001 in words is "one hundred two trillion, twelve billion, two hundred million, one", and thus it is an aban number.