2112111200010 has 128 divisors (see below), whose sum is σ = 5995011294720. Its totient is φ = 465963531264.

The previous prime is 2112111199999. The next prime is 2112111200021. The reversal of 2112111200010 is 100021112112.

It is an interprime number because it is at equal distance from previous prime (2112111199999) and next prime (2112111200021).

It is a super-2 number, since 2×2112111200010² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18438232 + ... + 18552428.

It is an arithmetic number, because the mean of its divisors is an integer number (46836025740).

Almost surely, 2^{2112111200010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112111200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997505647360).

2112111200010 is an abundant number, since it is smaller than the sum of its proper divisors (3882900094710).

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

2112111200010 is a wasteful number, since it uses less digits than its factorization.

2112111200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117280.

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

Adding to 2112111200010 its reverse (100021112112), we get a palindrome (2212132312122).

The spelling of 2112111200010 in words is "two trillion, one hundred twelve billion, one hundred eleven million, two hundred thousand, ten".