212100020000092 has 96 divisors (see below), whose sum is σ = 448263309312000. Its totient is φ = 85844029182912.

The previous prime is 212100020000009. The next prime is 212100020000119. The reversal of 212100020000092 is 290000020001212.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1754296659 + ... + 1754417557.

It is an arithmetic number, because the mean of its divisors is an integer number (4669409472000).

Almost surely, 2^{212100020000092} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100020000092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224131654656000).

212100020000092 is an abundant number, since it is smaller than the sum of its proper divisors (236163289311908).

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

212100020000092 is a wasteful number, since it uses less digits than its factorization.

212100020000092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155495 (or 155493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 212100020000092 in words is "two hundred twelve trillion, one hundred billion, twenty million, ninety-two", and thus it is an aban number.