101121220211012 has 24 divisors (see below), whose sum is σ = 190443339518040. Its totient is φ = 46806350722560.

The previous prime is 101121220210987. The next prime is 101121220211017. The reversal of 101121220211012 is 210112022121101.

101121220211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2146060923136 + 98975159287876 = 1464944^2 + 9948626^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (101121220211017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12189149687 + ... + 12189157982.

It is an arithmetic number, because the mean of its divisors is an integer number (7935139146585).

Almost surely, 2^{101121220211012} is an apocalyptic number.

It is an amenable number.

101121220211012 is a deficient number, since it is larger than the sum of its proper divisors (89322119307028).

101121220211012 is a wasteful number, since it uses less digits than its factorization.

101121220211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24378307751 (or 24378307749 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121220211012 its reverse (210112022121101), we get a palindrome (311233242332113).

The spelling of 101121220211012 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, twelve".