122012111210100 has 288 divisors, whose sum is σ = 367590990170880. Its totient is φ = 31218308444160.

The previous prime is 122012111210057. The next prime is 122012111210117. The reversal of 122012111210100 is 1012111210221.

It is a happy number.

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 122012111210100.

It is a congruent number.

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, 7875297954 + ... + 7875313446.

It is an arithmetic number, because the mean of its divisors is an integer number (1276357604760).

Almost surely, 2^{122012111210100} is an apocalyptic number.

122012111210100 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 122012111210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183795495085440).

122012111210100 is an abundant number, since it is smaller than the sum of its proper divisors (245578878960780).

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

122012111210100 is a wasteful number, since it uses less digits than its factorization.

122012111210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25339 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122012111210100 its reverse (1012111210221), we get a palindrome (123024222420321).

The spelling of 122012111210100 in words is "one hundred twenty-two trillion, twelve billion, one hundred eleven million, two hundred ten thousand, one hundred".