1012102000101 has 96 divisors (see below), whose sum is σ = 1644814080000. Its totient is φ = 619992128448.

The previous prime is 1012102000057. The next prime is 1012102000157. The reversal of 1012102000101 is 1010002012101.

It is a happy number.

It is not a de Polignac number, because 1012102000101 - 2¹⁷ = 1012101869029 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012102000601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32238430 + ... + 32269808.

It is an arithmetic number, because the mean of its divisors is an integer number (17133480000).

Almost surely, 2^{1012102000101} is an apocalyptic number.

It is an amenable number.

1012102000101 is a deficient number, since it is larger than the sum of its proper divisors (632712079899).

1012102000101 is a wasteful number, since it uses less digits than its factorization.

1012102000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31645 (or 31633 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012102000101 its reverse (1010002012101), we get a palindrome (2022104012202).

The spelling of 1012102000101 in words is "one trillion, twelve billion, one hundred two million, one hundred one", and thus it is an aban number.