122122100102100 has 144 divisors (see below), whose sum is σ = 403951659355776. Its totient is φ = 27904320000000.

The previous prime is 122122100102021. The next prime is 122122100102131. The reversal of 122122100102100 is 1201001221221.

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 122122100102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386901 + ... + 15991100.

Almost surely, 2^{122122100102100} is an apocalyptic number.

122122100102100 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 122122100102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201975829677888).

122122100102100 is an abundant number, since it is smaller than the sum of its proper divisors (281829559253676).

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

122122100102100 is a wasteful number, since it uses less digits than its factorization.

122122100102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381026 (or 19381019 counting only the distinct ones).

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

Adding to 122122100102100 its reverse (1201001221221), we get a palindrome (123323101323321).

The spelling of 122122100102100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred".