1011002112020 has 24 divisors (see below), whose sum is σ = 2138601553704. Its totient is φ = 401449012736.

The previous prime is 1011002112017. The next prime is 1011002112023. The reversal of 1011002112020 is 202112001101.

It is an interprime number because it is at equal distance from previous prime (1011002112017) and next prime (1011002112023).

It can be written as a sum of positive squares in 4 ways, for example, as 244190152336 + 766811959684 = 494156^2 + 875678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011002111992 and 1011002112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011002112023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184486697 + ... + 184492176.

It is an arithmetic number, because the mean of its divisors is an integer number (89108398071).

Almost surely, 2^{1011002112020} is an apocalyptic number.

1011002112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002112020 is an abundant number, since it is smaller than the sum of its proper divisors (1127599441684).

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

1011002112020 is a wasteful number, since it uses less digits than its factorization.

1011002112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368979019 (or 368979017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011002112020 its reverse (202112001101), we get a palindrome (1213114113121).

The spelling of 1011002112020 in words is "one trillion, eleven billion, two million, one hundred twelve thousand, twenty".