2102100001020 has 36 divisors (see below), whose sum is σ = 6376370003640. Its totient is φ = 560560000224.

The previous prime is 2102100001019. The next prime is 2102100001049. The reversal of 2102100001020 is 201000012012.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2102100000993 and 2102100001011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5839166490 + ... + 5839166849.

It is an arithmetic number, because the mean of its divisors is an integer number (177121388990).

Almost surely, 2^{2102100001020} is an apocalyptic number.

2102100001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100001020 is an abundant number, since it is smaller than the sum of its proper divisors (4274270002620).

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

2102100001020 is a wasteful number, since it uses less digits than its factorization.

2102100001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678333354 (or 11678333349 counting only the distinct ones).

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

Adding to 2102100001020 its reverse (201000012012), we get a palindrome (2303100013032).

The spelling of 2102100001020 in words is "two trillion, one hundred two billion, one hundred million, one thousand, twenty".