101020122212022 has 288 divisors, whose sum is σ = 241477932792096. Its totient is φ = 30503506176000.

The previous prime is 101020122212021. The next prime is 101020122212147. The reversal of 101020122212022 is 220212221020101.

It is a happy number.

101020122212022 is a `hidden beast` number, since 101 + 0 + 201 + 222 + 120 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101020122211986 and 101020122212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020122212021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19881934522 + ... + 19881939602.

It is an arithmetic number, because the mean of its divisors is an integer number (838465044417).

Almost surely, 2^{101020122212022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020122212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120738966396048).

101020122212022 is an abundant number, since it is smaller than the sum of its proper divisors (140457810580074).

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

101020122212022 is a wasteful number, since it uses less digits than its factorization.

101020122212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020122212022 its reverse (220212221020101), we get a palindrome (321232343232123).

The spelling of 101020122212022 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, two hundred twelve thousand, twenty-two".