1000101112020 has 72 divisors (see below), whose sum is σ = 3033958813704. Its totient is φ = 266665605888.

The previous prime is 1000101112019. The next prime is 1000101112033. The reversal of 1000101112020 is 202111010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82712609604 + 917388502416 = 287598^2 + 957804^2 .

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 = 1000101111993 and 1000101112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454782 + ... + 2028938.

It is an arithmetic number, because the mean of its divisors is an integer number (42138316857).

Almost surely, 2^{1000101112020} is an apocalyptic number.

1000101112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101112020 is an abundant number, since it is smaller than the sum of its proper divisors (2033857701684).

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

1000101112020 is a wasteful number, since it uses less digits than its factorization.

1000101112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583849 (or 583844 counting only the distinct ones).

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

Adding to 1000101112020 its reverse (202111010001), we get a palindrome (1202212122021).

The spelling of 1000101112020 in words is "one trillion, one hundred one million, one hundred twelve thousand, twenty".