214086011816100 has 72 divisors (see below), whose sum is σ = 619608153908128. Its totient is φ = 57072464006400.

The previous prime is 214086011816069. The next prime is 214086011816153. The reversal of 214086011816100 is 1618110680412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106118689 + ... + 108117288.

Almost surely, 2^{214086011816100} is an apocalyptic number.

214086011816100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214086011816100 is an abundant number, since it is smaller than the sum of its proper divisors (405522142092028).

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

214086011816100 is a wasteful number, since it uses less digits than its factorization.

214086011816100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214239325 (or 214239318 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 214086011816100 in words is "two hundred fourteen trillion, eighty-six billion, eleven million, eight hundred sixteen thousand, one hundred".