2102102022020 has 384 divisors, whose sum is σ = 5982315236352. Its totient is φ = 599187456000.

The previous prime is 2102102021969. The next prime is 2102102022071. The reversal of 2102102022020 is 202202012012.

It is an interprime number because it is at equal distance from previous prime (2102102021969) and next prime (2102102022071).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2102102021986 and 2102102022004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1167185120 + ... + 1167186920.

It is an arithmetic number, because the mean of its divisors is an integer number (15578945928).

Almost surely, 2^{2102102022020} is an apocalyptic number.

2102102022020 is a gapful number since it is divisible by the number (20) 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 2102102022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991157618176).

2102102022020 is an abundant number, since it is smaller than the sum of its proper divisors (3880213214332).

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

2102102022020 is a wasteful number, since it uses less digits than its factorization.

2102102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102102022020 its reverse (202202012012), we get a palindrome (2304304034032).

The spelling of 2102102022020 in words is "two trillion, one hundred two billion, one hundred two million, twenty-two thousand, twenty".