10121333102100 has 324 divisors, whose sum is σ = 35569526717088. Its totient is φ = 2387338272000.

The previous prime is 10121333102029. The next prime is 10121333102171. The reversal of 10121333102100 is 120133312101.

10121333102100 is a `hidden beast` number, since 1 + 0 + 12 + 133 + 310 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10121333102029) and next prime (10121333102171).

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 107 ways as a sum of consecutive naturals, for example, 13179705 + ... + 13926495.

Almost surely, 2^{10121333102100} is an apocalyptic number.

10121333102100 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 10121333102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784763358544).

10121333102100 is an abundant number, since it is smaller than the sum of its proper divisors (25448193614988).

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

10121333102100 is a wasteful number, since it uses less digits than its factorization.

10121333102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746896 (or 746849 counting only the distinct ones).

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

Adding to 10121333102100 its reverse (120133312101), we get a palindrome (10241466414201).

The spelling of 10121333102100 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred two thousand, one hundred".