2100102312000 has 896 divisors, whose sum is σ = 8668336435200. Its totient is φ = 435240960000.

The previous prime is 2100102311953. The next prime is 2100102312031. The reversal of 2100102312000 is 2132010012.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 829750735 + ... + 829753265.

Almost surely, 2^{2100102312000} is an apocalyptic number.

2100102312000 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 2100102312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334168217600).

2100102312000 is an abundant number, since it is smaller than the sum of its proper divisors (6568234123200).

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

2100102312000 is a wasteful number, since it uses less digits than its factorization.

2100102312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2100102312000 its reverse (2132010012), we get a palindrome (2102234322012).

The spelling of 2100102312000 in words is "two trillion, one hundred billion, one hundred two million, three hundred twelve thousand".