101000122111020 has 768 divisors, whose sum is σ = 335021313392640. Its totient is φ = 22474483200000.

The previous prime is 101000122111003. The next prime is 101000122111033. The reversal of 101000122111020 is 20111221000101.

It is a super-2 number, since 2×101000122111020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101000122110987 and 101000122111005.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28931571475 + ... + 28931574965.

It is an arithmetic number, because the mean of its divisors is an integer number (436225668480).

Almost surely, 2^{101000122111020} is an apocalyptic number.

101000122111020 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 101000122111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167510656696320).

101000122111020 is an abundant number, since it is smaller than the sum of its proper divisors (234021191281620).

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

101000122111020 is a wasteful number, since it uses less digits than its factorization.

101000122111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101000122111020 its reverse (20111221000101), we get a palindrome (121111343111121).

The spelling of 101000122111020 in words is "one hundred one trillion, one hundred twenty-two million, one hundred eleven thousand, twenty".