121321313333100 has 144 divisors (see below), whose sum is σ = 390095488436640. Its totient is φ = 32346549331200.

The previous prime is 121321313333083. The next prime is 121321313333117. The reversal of 121321313333100 is 1333313123121.

121321313333100 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 1 + 313 + 33 + 310 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121321313333083) and next prime (121321313333117).

It is a super-2 number, since 2×121321313333100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11043094 + ... + 19094306.

Almost surely, 2^{121321313333100} is an apocalyptic number.

121321313333100 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 121321313333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195047744218320).

121321313333100 is an abundant number, since it is smaller than the sum of its proper divisors (268774175103540).

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

121321313333100 is a wasteful number, since it uses less digits than its factorization.

121321313333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056817 (or 8056804 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 121321313333100 its reverse (1333313123121), we get a palindrome (122654626456221).

The spelling of 121321313333100 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred".