10101022122112 has 64 divisors (see below), whose sum is σ = 20455631838360. Its totient is φ = 4967080796160.

The previous prime is 10101022122109. The next prime is 10101022122119. The reversal of 10101022122112 is 21122122010101.

It can be written as a sum of positive squares in 4 ways, for example, as 1990966152256 + 8110055969856 = 1411016^2 + 2847816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10101022122112² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10101022122119) 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, 64204698 + ... + 64361830.

Almost surely, 2^{10101022122112} 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 10101022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10227815919180).

10101022122112 is an abundant number, since it is smaller than the sum of its proper divisors (10354609716248).

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

10101022122112 is an equidigital number, since it uses as much as digits as its factorization.

10101022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165441 (or 165429 counting only the distinct ones).

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

Adding to 10101022122112 its reverse (21122122010101), we get a palindrome (31223144132213).

The spelling of 10101022122112 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".