2122121210100 has 144 divisors (see below), whose sum is σ = 6313493827200. Its totient is φ = 549945745920.

The previous prime is 2122121210093. The next prime is 2122121210129. The reversal of 2122121210100 is 10121212212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122121210100.

It is a congruent number.

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, 9198966 + ... + 9426834.

Almost surely, 2^{2122121210100} is an apocalyptic number.

2122121210100 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 2122121210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156746913600).

2122121210100 is an abundant number, since it is smaller than the sum of its proper divisors (4191372617100).

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

2122121210100 is a wasteful number, since it uses less digits than its factorization.

2122121210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228762 (or 228755 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122121210100 its reverse (10121212212), we get a palindrome (2132242422312).

The spelling of 2122121210100 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred".