101100201010101 has 32 divisors (see below), whose sum is σ = 158615892921600. Its totient is φ = 63424483315200.

The previous prime is 101100201010091. The next prime is 101100201010111. The reversal of 101100201010101 is 101010102001101.

It is an interprime number because it is at equal distance from previous prime (101100201010091) and next prime (101100201010111).

It is not a de Polignac number, because 101100201010101 - 2⁶ = 101100201010037 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 (101100201010111) 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, 16322161 + ... + 21647478.

It is an arithmetic number, because the mean of its divisors is an integer number (4956746653800).

Almost surely, 2^{101100201010101} is an apocalyptic number.

It is an amenable number.

101100201010101 is a deficient number, since it is larger than the sum of its proper divisors (57515691911499).

101100201010101 is a wasteful number, since it uses less digits than its factorization.

101100201010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37975466 (or 37975460 counting only the distinct ones).

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

Adding to 101100201010101 its reverse (101010102001101), we get a palindrome (202110303011202).

The spelling of 101100201010101 in words is "one hundred one trillion, one hundred billion, two hundred one million, ten thousand, one hundred one".