1010100112101 has 32 divisors (see below), whose sum is σ = 1606175896320. Its totient is φ = 625106253312.

The previous prime is 1010100112069. The next prime is 1010100112211. The reversal of 1010100112101 is 1012110010101.

It is not a de Polignac number, because 1010100112101 - 2⁵ = 1010100112069 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 (1010100112001) 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, 15039465 + ... + 15106478.

It is an arithmetic number, because the mean of its divisors is an integer number (50192996760).

Almost surely, 2^{1010100112101} is an apocalyptic number.

It is an amenable number.

1010100112101 is a deficient number, since it is larger than the sum of its proper divisors (596075784219).

1010100112101 is a wasteful number, since it uses less digits than its factorization.

1010100112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30146042 (or 30146036 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010100112101 its reverse (1012110010101), we get a palindrome (2022210122202).

The spelling of 1010100112101 in words is "one trillion, ten billion, one hundred million, one hundred twelve thousand, one hundred one".