212165141100 has 288 divisors, whose sum is σ = 675631756800. Its totient is φ = 50978304000.

The previous prime is 212165141053. The next prime is 212165141113. The reversal of 212165141100 is 1141561212.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354198601 + ... + 354199199.

It is an arithmetic number, because the mean of its divisors is an integer number (2345943600).

Almost surely, 2^212165141100 is an apocalyptic number.

212165141100 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 212165141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337815878400).

212165141100 is an abundant number, since it is smaller than the sum of its proper divisors (463466615700).

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

212165141100 is a wasteful number, since it uses less digits than its factorization.

212165141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 212165141100 in words is "two hundred twelve billion, one hundred sixty-five million, one hundred forty-one thousand, one hundred".