101012222221020 has 432 divisors, whose sum is σ = 350221026355200. Its totient is φ = 23369661976320.

The previous prime is 101012222220947. The next prime is 101012222221049. The reversal of 101012222221020 is 20122222210101.

It is a happy number.

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 = 101012222220984 and 101012222221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459707541 + ... + 459927219.

Almost surely, 2^{101012222221020} is an apocalyptic number.

101012222221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175110513177600).

101012222221020 is an abundant number, since it is smaller than the sum of its proper divisors (249208804134180).

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

101012222221020 is a wasteful number, since it uses less digits than its factorization.

101012222221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220190 (or 220162 counting only the distinct ones).

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

Adding to 101012222221020 its reverse (20122222210101), we get a palindrome (121134444431121).

The spelling of 101012222221020 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".