121033313100 has 288 divisors, whose sum is σ = 446956392960. Its totient is φ = 27523480320.

The previous prime is 121033313081. The next prime is 121033313153. The reversal of 121033313100 is 1313330121.

It is a happy number.

121033313100 is a `hidden beast` number, since 1 + 21 + 0 + 3 + 331 + 310 + 0 = 666.

It is a super-2 number, since 2×121033313100² (a number of 23 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, 3707047 + ... + 3739553.

It is an arithmetic number, because the mean of its divisors is an integer number (1551931920).

Almost surely, 2^121033313100 is an apocalyptic number.

121033313100 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 121033313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223478196480).

121033313100 is an abundant number, since it is smaller than the sum of its proper divisors (325923079860).

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

121033313100 is a wasteful number, since it uses less digits than its factorization.

121033313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32734 (or 32721 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 121033313100 its reverse (1313330121), we get a palindrome (122346643221).

The spelling of 121033313100 in words is "one hundred twenty-one billion, thirty-three million, three hundred thirteen thousand, one hundred".