122123101301100 has 108 divisors (see below), whose sum is σ = 389276010079320. Its totient is φ = 32014191513600.

The previous prime is 122123101301021. The next prime is 122123101301207. The reversal of 122123101301100 is 1103101321221.

122123101301100 is a `hidden beast` number, since 1 + 2 + 212 + 310 + 1 + 30 + 110 + 0 = 666.

It is a super-2 number, since 2×122123101301100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1149881941 + ... + 1149988140.

Almost surely, 2^{122123101301100} is an apocalyptic number.

122123101301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123101301100 is an abundant number, since it is smaller than the sum of its proper divisors (267152908778220).

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

122123101301100 is a wasteful number, since it uses less digits than its factorization.

122123101301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299870160 (or 2299870150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122123101301100 its reverse (1103101321221), we get a palindrome (123226202622321).

The spelling of 122123101301100 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred one million, three hundred one thousand, one hundred".