122102120100 has 144 divisors (see below), whose sum is σ = 368780382656. Its totient is φ = 31161024000.

The previous prime is 122102120093. The next prime is 122102120117. The reversal of 122102120100 is 1021201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 586935 + ... + 767265.

Almost surely, 2^122102120100 is an apocalyptic number.

122102120100 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 122102120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184390191328).

122102120100 is an abundant number, since it is smaller than the sum of its proper divisors (246678262556).

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

122102120100 is a wasteful number, since it uses less digits than its factorization.

122102120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180446 (or 180439 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102120100 its reverse (1021201221), we get a palindrome (123123321321).

The spelling of 122102120100 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred".