2101012020000 has 1440 divisors, whose sum is σ = 8305891513920. Its totient is φ = 520680960000.

The previous prime is 2101012019963. The next prime is 2101012020011. The reversal of 2101012020000 is 202101012.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5632739814 + ... + 5632740186.

It is an arithmetic number, because the mean of its divisors is an integer number (5767980218).

Almost surely, 2^{2101012020000} is an apocalyptic number.

2101012020000 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 2101012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152945756960).

2101012020000 is an abundant number, since it is smaller than the sum of its proper divisors (6204879493920).

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

2101012020000 is an equidigital number, since it uses as much as digits as its factorization.

2101012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101012020000 its reverse (202101012), we get a palindrome (2101214121012).

The spelling of 2101012020000 in words is "two trillion, one hundred one billion, twelve million, twenty thousand".