101222201120020 has 12 divisors (see below), whose sum is σ = 212566622352084. Its totient is φ = 40488880448000.

The previous prime is 101222201120017. The next prime is 101222201120021. The reversal of 101222201120020 is 20021102222101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40316226444036 + 60905974675984 = 6349506^2 + 7804228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101222201119976 and 101222201120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222201120021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2530555027981 + ... + 2530555028020.

It is an arithmetic number, because the mean of its divisors is an integer number (17713885196007).

Almost surely, 2^{101222201120020} is an apocalyptic number.

101222201120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222201120020 is an abundant number, since it is smaller than the sum of its proper divisors (111344421232064).

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

101222201120020 is a wasteful number, since it uses less digits than its factorization.

101222201120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061110056010 (or 5061110056008 counting only the distinct ones).

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

Adding to 101222201120020 its reverse (20021102222101), we get a palindrome (121243303342121).

The spelling of 101222201120020 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, one hundred twenty thousand, twenty".