2102011000020 has 48 divisors (see below), whose sum is σ = 6539589779520. Its totient is φ = 560536266528.

The previous prime is 2102011000013. The next prime is 2102011000021. The reversal of 2102011000020 is 200001102012.

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 = 2102010999966 and 2102011000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102011000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946305942 + ... + 1946307021.

It is an arithmetic number, because the mean of its divisors is an integer number (136241453740).

Almost surely, 2^{2102011000020} is an apocalyptic number.

2102011000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102011000020 is an abundant number, since it is smaller than the sum of its proper divisors (4437578779500).

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

2102011000020 is a wasteful number, since it uses less digits than its factorization.

2102011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892612981 (or 3892612973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2102011000020 its reverse (200001102012), we get a palindrome (2302012102032).

The spelling of 2102011000020 in words is "two trillion, one hundred two billion, eleven million, twenty", and thus it is an aban number.