2010122100000 has 1296 divisors, whose sum is σ = 8752502304000. Its totient is φ = 435093120000.

The previous prime is 2010122099987. The next prime is 2010122100023. The reversal of 2010122100000 is 12210102.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 837898801 + ... + 837901199.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474000).

Almost surely, 2^{2010122100000} is an apocalyptic number.

2010122100000 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 2010122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376251152000).

2010122100000 is an abundant number, since it is smaller than the sum of its proper divisors (6742380204000).

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

2010122100000 is a wasteful number, since it uses less digits than its factorization.

2010122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2435 counting only the distinct ones).

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

Adding to 2010122100000 its reverse (12210102), we get a palindrome (2010134310102).

The spelling of 2010122100000 in words is "two trillion, ten billion, one hundred twenty-two million, one hundred thousand".