101200211010101 has 32 divisors (see below), whose sum is σ = 116399159562240. Its totient is φ = 86187535612416.

The previous prime is 101200211010091. The next prime is 101200211010103. The reversal of 101200211010101 is 101010112002101.

It is not a de Polignac number, because 101200211010101 - 2³⁰ = 101199137268277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200211010103) 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, 12391352720 + ... + 12391360886.

It is an arithmetic number, because the mean of its divisors is an integer number (3637473736320).

Almost surely, 2^{101200211010101} is an apocalyptic number.

It is an amenable number.

101200211010101 is a deficient number, since it is larger than the sum of its proper divisors (15198948552139).

101200211010101 is a wasteful number, since it uses less digits than its factorization.

101200211010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15273.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101200211010101 its reverse (101010112002101), we get a palindrome (202210323012202).

The spelling of 101200211010101 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, ten thousand, one hundred one".