2111012212100 has 144 divisors (see below), whose sum is σ = 5280841379520. Its totient is φ = 724407091200.

The previous prime is 2111012212091. The next prime is 2111012212129. The reversal of 2111012212100 is 12122101112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5174792 + ... + 5567808.

It is an arithmetic number, because the mean of its divisors is an integer number (36672509580).

Almost surely, 2^{2111012212100} is an apocalyptic number.

2111012212100 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 2111012212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640420689760).

2111012212100 is an abundant number, since it is smaller than the sum of its proper divisors (3169829167420).

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

2111012212100 is a wasteful number, since it uses less digits than its factorization.

2111012212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393318 (or 393311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111012212100 its reverse (12122101112), we get a palindrome (2123134313212).

The spelling of 2111012212100 in words is "two trillion, one hundred eleven billion, twelve million, two hundred twelve thousand, one hundred".