122133010121100 has 288 divisors, whose sum is σ = 429909680686080. Its totient is φ = 29498745888000.

The previous prime is 122133010121077. The next prime is 122133010121123. The reversal of 122133010121100 is 1121010331221.

122133010121100 is a `hidden beast` number, since 1 + 2 + 21 + 330 + 101 + 211 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122133010121077) and next prime (122133010121123).

It is a super-2 number, since 2×122133010121100² (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 95 ways as a sum of consecutive naturals, for example, 461574 + ... + 15635826.

Almost surely, 2^{122133010121100} is an apocalyptic number.

122133010121100 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 122133010121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214954840343040).

122133010121100 is an abundant number, since it is smaller than the sum of its proper divisors (307776670564980).

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

122133010121100 is a wasteful number, since it uses less digits than its factorization.

122133010121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15174558 (or 15174545 counting only the distinct ones).

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

Adding to 122133010121100 its reverse (1121010331221), we get a palindrome (123254020452321).

The spelling of 122133010121100 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, ten million, one hundred twenty-one thousand, one hundred".