2102021012000 has 576 divisors, whose sum is σ = 6485133642624. Its totient is φ = 663702681600.

The previous prime is 2102021011997. The next prime is 2102021012111. The reversal of 2102021012000 is 2101202012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1638363359 + ... + 1638364641.

It is an arithmetic number, because the mean of its divisors is an integer number (11258912574).

Almost surely, 2^{2102021012000} is an apocalyptic number.

2102021012000 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 2102021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242566821312).

2102021012000 is an abundant number, since it is smaller than the sum of its proper divisors (4383112630624).

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

2102021012000 is a wasteful number, since it uses less digits than its factorization.

2102021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2102021012000 its reverse (2101202012), we get a palindrome (2104122214012).

The spelling of 2102021012000 in words is "two trillion, one hundred two billion, twenty-one million, twelve thousand".