2101012001000 has 256 divisors, whose sum is σ = 5765736038400. Its totient is φ = 708390432000.

The previous prime is 2101012000979. The next prime is 2101012001009. The reversal of 2101012001000 is 1002101012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2101012001009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9716057 + ... + 9929943.

It is an arithmetic number, because the mean of its divisors is an integer number (22522406400).

Almost surely, 2^{2101012001000} is an apocalyptic number.

2101012001000 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 2101012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882868019200).

2101012001000 is an abundant number, since it is smaller than the sum of its proper divisors (3664724037400).

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

2101012001000 is a wasteful number, since it uses less digits than its factorization.

2101012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213985 (or 213971 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101012001000 its reverse (1002101012), we get a palindrome (2102014102012).

The spelling of 2101012001000 in words is "two trillion, one hundred one billion, twelve million, one thousand".