101010112100001 has 16 divisors (see below), whose sum is σ = 161155734405120. Its totient is φ = 62160068984400.

The previous prime is 101010112099933. The next prime is 101010112100033. The reversal of 101010112100001 is 100001211010101.

It is not a de Polignac number, because 101010112100001 - 2¹⁰ = 101010112098977 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 (101010112100081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143889048225 + ... + 143889048926.

It is an arithmetic number, because the mean of its divisors is an integer number (10072233400320).

Almost surely, 2^{101010112100001} is an apocalyptic number.

It is an amenable number.

101010112100001 is a deficient number, since it is larger than the sum of its proper divisors (60145622305119).

101010112100001 is a wasteful number, since it uses less digits than its factorization.

101010112100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287778097173 (or 287778097167 counting only the distinct ones).

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

Adding to 101010112100001 its reverse (100001211010101), we get a palindrome (201011323110102).

The spelling of 101010112100001 in words is "one hundred one trillion, ten billion, one hundred twelve million, one hundred thousand, one".