121303312010100 has 432 divisors, whose sum is σ = 425016245594304. Its totient is φ = 28681807104000.

The previous prime is 121303312010093. The next prime is 121303312010171. The reversal of 121303312010100 is 1010213303121.

121303312010100 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 331 + 201 + 0 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1563893919 + ... + 1563971481.

Almost surely, 2^{121303312010100} is an apocalyptic number.

121303312010100 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 121303312010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212508122797152).

121303312010100 is an abundant number, since it is smaller than the sum of its proper divisors (303712933584204).

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

121303312010100 is a wasteful number, since it uses less digits than its factorization.

121303312010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81488 (or 81478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121303312010100 its reverse (1010213303121), we get a palindrome (122313525313221).

The spelling of 121303312010100 in words is "one hundred twenty-one trillion, three hundred three billion, three hundred twelve million, ten thousand, one hundred".