2102020002000 has 480 divisors, whose sum is σ = 7672845263616. Its totient is φ = 535328640000.

The previous prime is 2102020001959. The next prime is 2102020002007. The reversal of 2102020002000 is 2000202012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102020002007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290210379 + ... + 290217621.

Almost surely, 2^{2102020002000} is an apocalyptic number.

2102020002000 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 2102020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836422631808).

2102020002000 is an abundant number, since it is smaller than the sum of its proper divisors (5570825261616).

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

2102020002000 is a wasteful number, since it uses less digits than its factorization.

2102020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2102020002000 its reverse (2000202012), we get a palindrome (2104020204012).

The spelling of 2102020002000 in words is "two trillion, one hundred two billion, twenty million, two thousand".