10121333102172 has 72 divisors (see below), whose sum is σ = 26956042573824. Its totient is φ = 3195760699296.

The previous prime is 10121333102171. The next prime is 10121333102173. The reversal of 10121333102172 is 27120133312101.

10121333102172 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 133 + 310 + 217 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10121333102171) and next prime (10121333102173).

It is a super-2 number, since 2×10121333102172² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121333102171) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59253708 + ... + 59424275.

It is an arithmetic number, because the mean of its divisors is an integer number (374389480192).

Almost surely, 2^{10121333102172} is an apocalyptic number.

10121333102172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121333102172 is an abundant number, since it is smaller than the sum of its proper divisors (16834709471652).

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

10121333102172 is a wasteful number, since it uses less digits than its factorization.

10121333102172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118678119 (or 118678114 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 10121333102172 its reverse (27120133312101), we get a palindrome (37241466414273).

The spelling of 10121333102172 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred two thousand, one hundred seventy-two".