100101112020 has 576 divisors, whose sum is σ = 404058170880. Its totient is φ = 19465629696.

The previous prime is 100101111899. The next prime is 100101112051. The reversal of 100101112020 is 20211101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101111993 and 100101112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11510794 + ... + 11519486.

It is an arithmetic number, because the mean of its divisors is an integer number (701489880).

Almost surely, 2^100101112020 is an apocalyptic number.

100101112020 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 100101112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202029085440).

100101112020 is an abundant number, since it is smaller than the sum of its proper divisors (303957058860).

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

100101112020 is a wasteful number, since it uses less digits than its factorization.

100101112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101112020 its reverse (20211101001), we get a palindrome (120312213021).

The spelling of 100101112020 in words is "one hundred billion, one hundred one million, one hundred twelve thousand, twenty".