101022102102112 has 12 divisors (see below), whose sum is σ = 198887263513596. Its totient is φ = 50511051051040.

The previous prime is 101022102102079. The next prime is 101022102102113. The reversal of 101022102102112 is 211201201220101.

It is a super-2 number, since 2×101022102102112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102102113) 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 as a sum of consecutive naturals, namely, 1578470345314 + ... + 1578470345377.

It is an arithmetic number, because the mean of its divisors is an integer number (16573938626133).

Almost surely, 2^{101022102102112} is an apocalyptic number.

It is an amenable number.

101022102102112 is a deficient number, since it is larger than the sum of its proper divisors (97865161411484).

101022102102112 is an equidigital number, since it uses as much as digits as its factorization.

101022102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156940690701 (or 3156940690693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022102102112 its reverse (211201201220101), we get a palindrome (312223303322213).

The spelling of 101022102102112 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred two thousand, one hundred twelve".