2010121113000 has 512 divisors, whose sum is σ = 8420592660480. Its totient is φ = 385557120000.

The previous prime is 2010121112963. The next prime is 2010121113067. The reversal of 2010121113000 is 3111210102.

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, 2668315 + ... + 3337685.

It is an arithmetic number, because the mean of its divisors is an integer number (16446470040).

Almost surely, 2^{2010121113000} is an apocalyptic number.

2010121113000 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 2010121113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210296330240).

2010121113000 is an abundant number, since it is smaller than the sum of its proper divisors (6410471547480).

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

2010121113000 is a wasteful number, since it uses less digits than its factorization.

2010121113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669426 (or 669412 counting only the distinct ones).

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

Adding to 2010121113000 its reverse (3111210102), we get a palindrome (2013232323102).

The spelling of 2010121113000 in words is "two trillion, ten billion, one hundred twenty-one million, one hundred thirteen thousand".