121120011200100 has 576 divisors, whose sum is σ = 393650748739584. Its totient is φ = 28742978880000.

The previous prime is 121120011200053. The next prime is 121120011200113. The reversal of 121120011200100 is 1002110021121.

It is a super-2 number, since 2×121120011200100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5139378517 + ... + 5139402083.

It is an arithmetic number, because the mean of its divisors is an integer number (683421438784).

Almost surely, 2^{121120011200100} is an apocalyptic number.

121120011200100 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 121120011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196825374369792).

121120011200100 is an abundant number, since it is smaller than the sum of its proper divisors (272530737539484).

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

121120011200100 is a wasteful number, since it uses less digits than its factorization.

121120011200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23889 (or 23860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121120011200100 its reverse (1002110021121), we get a palindrome (122122121221221).

The spelling of 121120011200100 in words is "one hundred twenty-one trillion, one hundred twenty billion, eleven million, two hundred thousand, one hundred".