122102012100 has 144 divisors (see below), whose sum is σ = 377560709568. Its totient is φ = 30358671360.

The previous prime is 122102012099. The next prime is 122102012101. The reversal of 122102012100 is 1210201221.

It is an interprime number because it is at equal distance from previous prime (122102012099) and next prime (122102012101).

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

It is not an unprimeable number, because it can be changed into a prime (122102012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433824 + ... + 657576.

It is an arithmetic number, because the mean of its divisors is an integer number (2621949372).

Almost surely, 2^122102012100 is an apocalyptic number.

122102012100 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 122102012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188780354784).

122102012100 is an abundant number, since it is smaller than the sum of its proper divisors (255458697468).

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

122102012100 is a wasteful number, since it uses less digits than its factorization.

122102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223894 (or 223887 counting only the distinct ones).

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

Adding to 122102012100 its reverse (1210201221), we get a palindrome (123312213321).

The spelling of 122102012100 in words is "one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred".