2113123220010 has 192 divisors, whose sum is σ = 6109683240960. Its totient is φ = 502435440000.

The previous prime is 2113123220003. The next prime is 2113123220029. The reversal of 2113123220010 is 100223213112.

2113123220010 is a `hidden beast` number, since 21 + 1 + 312 + 322 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11720245 + ... + 11899175.

It is an arithmetic number, because the mean of its divisors is an integer number (31821266880).

Almost surely, 2^{2113123220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113123220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054841620480).

2113123220010 is an abundant number, since it is smaller than the sum of its proper divisors (3996560020950).

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

2113123220010 is a wasteful number, since it uses less digits than its factorization.

2113123220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179185 (or 179182 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2113123220010 its reverse (100223213112), we get a palindrome (2213346433122).

The spelling of 2113123220010 in words is "two trillion, one hundred thirteen billion, one hundred twenty-three million, two hundred twenty thousand, ten".