2014211112100 has 72 divisors (see below), whose sum is σ = 4769640098496. Its totient is φ = 732217200000.

The previous prime is 2014211112079. The next prime is 2014211112107. The reversal of 2014211112100 is 12111124102.

It is not an unprimeable number, because it can be changed into a prime (2014211112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3353745 + ... + 3908455.

It is an arithmetic number, because the mean of its divisors is an integer number (66245001368).

Almost surely, 2^{2014211112100} is an apocalyptic number.

2014211112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014211112100 is an abundant number, since it is smaller than the sum of its proper divisors (2755428986396).

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

2014211112100 is a wasteful number, since it uses less digits than its factorization.

2014211112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558037 (or 558030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2014211112100 its reverse (12111124102), we get a palindrome (2026322236202).

The spelling of 2014211112100 in words is "two trillion, fourteen billion, two hundred eleven million, one hundred twelve thousand, one hundred".