102022022010112 has 144 divisors (see below), whose sum is σ = 211002337808640. Its totient is φ = 49211034402816.

The previous prime is 102022022010109. The next prime is 102022022010113. The reversal of 102022022010112 is 211010220220201.

It is a happy number.

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 (102022022010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157646748 + ... + 158292580.

It is an arithmetic number, because the mean of its divisors is an integer number (1465294012560).

Almost surely, 2^{102022022010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105501168904320).

102022022010112 is an abundant number, since it is smaller than the sum of its proper divisors (108980315798528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022022010112 is an equidigital number, since it uses as much as digits as its factorization.

102022022010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646108 (or 646094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102022022010112 its reverse (211010220220201), we get a palindrome (313032242230313).

The spelling of 102022022010112 in words is "one hundred two trillion, twenty-two billion, twenty-two million, ten thousand, one hundred twelve".