101022223121 has 16 divisors (see below), whose sum is σ = 110748953088. Its totient is φ = 91734508800.

The previous prime is 101022223117. The next prime is 101022223157. The reversal of 101022223121 is 121322220101.

It is a cyclic number.

It is not a de Polignac number, because 101022223121 - 2² = 101022223117 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022223121.

It is not an unprimeable number, because it can be changed into a prime (101022223721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115130 + ... + 464003.

It is an arithmetic number, because the mean of its divisors is an integer number (6921809568).

Almost surely, 2^101022223121 is an apocalyptic number.

It is an amenable number.

101022223121 is a deficient number, since it is larger than the sum of its proper divisors (9726729967).

101022223121 is a wasteful number, since it uses less digits than its factorization.

101022223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579512.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101022223121 its reverse (121322220101), we get a palindrome (222344443222).

The spelling of 101022223121 in words is "one hundred one billion, twenty-two million, two hundred twenty-three thousand, one hundred twenty-one".