2111122100010 has 192 divisors, whose sum is σ = 6493383667584. Its totient is φ = 434331072000.

The previous prime is 2111122099981. The next prime is 2111122100027. The reversal of 2111122100010 is 100012211112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986844 + ... + 2279496.

It is an arithmetic number, because the mean of its divisors is an integer number (33819706602).

Almost surely, 2^{2111122100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111122100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246691833792).

2111122100010 is an abundant number, since it is smaller than the sum of its proper divisors (4382261567574).

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

2111122100010 is a wasteful number, since it uses less digits than its factorization.

2111122100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292789 (or 1292782 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111122100010 its reverse (100012211112), we get a palindrome (2211134311122).

The spelling of 2111122100010 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thousand, ten".