2100100002000 has 640 divisors, whose sum is σ = 9090786152448. Its totient is φ = 402815232000.

The previous prime is 2100100001999. The next prime is 2100100002001. The reversal of 2100100002000 is 2000010012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100100001999) and next prime (2100100002001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2100100002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5831167 + ... + 6180833.

Almost surely, 2^{2100100002000} is an apocalyptic number.

2100100002000 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 2100100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545393076224).

2100100002000 is an abundant number, since it is smaller than the sum of its proper divisors (6990686150448).

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

2100100002000 is a wasteful number, since it uses less digits than its factorization.

2100100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349724 (or 349708 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2100100002000 its reverse (2000010012), we get a palindrome (2102100012012).

The spelling of 2100100002000 in words is "two trillion, one hundred billion, one hundred million, two thousand".