122122001210100 has 288 divisors, whose sum is σ = 382023804328320. Its totient is φ = 30015290327040.

The previous prime is 122122001210021. The next prime is 122122001210107. The reversal of 122122001210100 is 1012100221221.

122122001210100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 122122001210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122001210107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3242990472 + ... + 3243028128.

Almost surely, 2^{122122001210100} is an apocalyptic number.

122122001210100 is a gapful number since it is divisible by the number (10) 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 122122001210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191011902164160).

122122001210100 is an abundant number, since it is smaller than the sum of its proper divisors (259901803118220).

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

122122001210100 is a wasteful number, since it uses less digits than its factorization.

122122001210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53107 (or 53100 counting only the distinct ones).

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

Adding to 122122001210100 its reverse (1012100221221), we get a palindrome (123134101431321).

The spelling of 122122001210100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one million, two hundred ten thousand, one hundred".