1012100122101 has 32 divisors (see below), whose sum is σ = 1432456819200. Its totient is φ = 633853321920.

The previous prime is 1012100122051. The next prime is 1012100122123. The reversal of 1012100122101 is 1012210012101.

It is not a de Polignac number, because 1012100122101 - 2¹⁰ = 1012100121077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100122171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4278790 + ... + 4509128.

It is an arithmetic number, because the mean of its divisors is an integer number (44764275600).

Almost surely, 2^{1012100122101} is an apocalyptic number.

It is an amenable number.

1012100122101 is a deficient number, since it is larger than the sum of its proper divisors (420356697099).

1012100122101 is a wasteful number, since it uses less digits than its factorization.

1012100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231009.

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

Adding to 1012100122101 its reverse (1012210012101), we get a palindrome (2024310134202).

The spelling of 1012100122101 in words is "one trillion, twelve billion, one hundred million, one hundred twenty-two thousand, one hundred one".