100111020221121 has 96 divisors (see below), whose sum is σ = 167508463449600. Its totient is φ = 52714263974400.

The previous prime is 100111020221101. The next prime is 100111020221143. The reversal of 100111020221121 is 121122020111001.

It is a happy number.

It is not a de Polignac number, because 100111020221121 - 2¹¹ = 100111020219073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111020221121.

It is not an unprimeable number, because it can be changed into a prime (100111020221101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5249925975 + ... + 5249945043.

It is an arithmetic number, because the mean of its divisors is an integer number (1744879827600).

Almost surely, 2^{100111020221121} is an apocalyptic number.

It is an amenable number.

100111020221121 is a deficient number, since it is larger than the sum of its proper divisors (67397443228479).

100111020221121 is a wasteful number, since it uses less digits than its factorization.

100111020221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23719 (or 23712 counting only the distinct ones).

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

Adding to 100111020221121 its reverse (121122020111001), we get a palindrome (221233040332122).

The spelling of 100111020221121 in words is "one hundred trillion, one hundred eleven billion, twenty million, two hundred twenty-one thousand, one hundred twenty-one".