122021111312100 has 864 divisors, whose sum is σ = 527403169203456. Its totient is φ = 22772084428800.

The previous prime is 122021111312021. The next prime is 122021111312101. The reversal of 122021111312100 is 1213111120221.

It is a happy number.

122021111312100 is a `hidden beast` number, since 1 + 220 + 21 + 1 + 11 + 312 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122021111312101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31502982 + ... + 35163618.

Almost surely, 2^{122021111312100} is an apocalyptic number.

122021111312100 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 122021111312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263701584601728).

122021111312100 is an abundant number, since it is smaller than the sum of its proper divisors (405382057891356).

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

122021111312100 is a wasteful number, since it uses less digits than its factorization.

122021111312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660725 (or 3660715 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 122021111312100 its reverse (1213111120221), we get a palindrome (123234222432321).

The spelling of 122021111312100 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred eleven million, three hundred twelve thousand, one hundred".