101022011077312 has 112 divisors (see below), whose sum is σ = 219969221996160. Its totient is φ = 45743753023488.

The previous prime is 101022011077291. The next prime is 101022011077319. The reversal of 101022011077312 is 213770110220101.

It is a super-2 number, since 2×101022011077312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101022011077319) 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, 1420428889 + ... + 1420500007.

It is an arithmetic number, because the mean of its divisors is an integer number (1964010910680).

Almost surely, 2^{101022011077312} 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 101022011077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109984610998080).

101022011077312 is an abundant number, since it is smaller than the sum of its proper divisors (118947210918848).

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

101022011077312 is a wasteful number, since it uses less digits than its factorization.

101022011077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103410 (or 103400 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

Adding to 101022011077312 its reverse (213770110220101), we get a palindrome (314792121297413).

The spelling of 101022011077312 in words is "one hundred one trillion, twenty-two billion, eleven million, seventy-seven thousand, three hundred twelve".