101201220101121 has 64 divisors (see below), whose sum is σ = 157280687953920. Its totient is φ = 56688315609600.

The previous prime is 101201220101087. The next prime is 101201220101141. The reversal of 101201220101121 is 121101022102101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101201220101121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101201220101121.

It is not an unprimeable number, because it can be changed into a prime (101201220101141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521550706 + ... + 521744708.

It is an arithmetic number, because the mean of its divisors is an integer number (2457510749280).

Almost surely, 2^{101201220101121} is an apocalyptic number.

It is an amenable number.

101201220101121 is a deficient number, since it is larger than the sum of its proper divisors (56079467852799).

101201220101121 is a wasteful number, since it uses less digits than its factorization.

101201220101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196166.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101201220101121 its reverse (121101022102101), we get a palindrome (222302242203222).

The spelling of 101201220101121 in words is "one hundred one trillion, two hundred one billion, two hundred twenty million, one hundred one thousand, one hundred twenty-one".