122135133100 has 72 divisors (see below), whose sum is σ = 279084290240. Its totient is φ = 46265878080.

The previous prime is 122135133061. The next prime is 122135133137. The reversal of 122135133100 is 1331531221.

It is a super-2 number, since 2×122135133100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5999539 + ... + 6019861.

Almost surely, 2^122135133100 is an apocalyptic number.

122135133100 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 122135133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139542145120).

122135133100 is an abundant number, since it is smaller than the sum of its proper divisors (156949157140).

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

122135133100 is a wasteful number, since it uses less digits than its factorization.

122135133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23519 (or 23512 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 122135133100 its reverse (1331531221), we get a palindrome (123466664321).

The spelling of 122135133100 in words is "one hundred twenty-two billion, one hundred thirty-five million, one hundred thirty-three thousand, one hundred".