122102013100 has 72 divisors (see below), whose sum is σ = 271842253760. Its totient is φ = 47578466880.

The previous prime is 122102013083. The next prime is 122102013107. The reversal of 122102013100 is 1310201221.

It is a super-2 number, since 2×122102013100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122102013107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592239 + ... + 1667161.

Almost surely, 2^122102013100 is an apocalyptic number.

122102013100 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 122102013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135921126880).

122102013100 is an abundant number, since it is smaller than the sum of its proper divisors (149740240660).

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

122102013100 is a wasteful number, since it uses less digits than its factorization.

122102013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75359 (or 75352 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122102013100 its reverse (1310201221), we get a palindrome (123412214321).

The spelling of 122102013100 in words is "one hundred twenty-two billion, one hundred two million, thirteen thousand, one hundred".