211204424100 has 144 divisors (see below), whose sum is σ = 618182433792. Its totient is φ = 55669770240.

The previous prime is 211204424089. The next prime is 211204424111. The reversal of 211204424100 is 1424402112.

It is an interprime number because it is at equal distance from previous prime (211204424089) and next prime (211204424111).

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, 12636349 + ... + 12653051.

It is an arithmetic number, because the mean of its divisors is an integer number (4292933568).

Almost surely, 2^211204424100 is an apocalyptic number.

211204424100 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 211204424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309091216896).

211204424100 is an abundant number, since it is smaller than the sum of its proper divisors (406978009692).

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

211204424100 is a wasteful number, since it uses less digits than its factorization.

211204424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17206 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211204424100 its reverse (1424402112), we get a palindrome (212628826212).

The spelling of 211204424100 in words is "two hundred eleven billion, two hundred four million, four hundred twenty-four thousand, one hundred".