10133222120100 has 54 divisors (see below), whose sum is σ = 31762021781490. Its totient is φ = 2702192565120.

The previous prime is 10133222120053. The next prime is 10133222120111. The reversal of 10133222120100 is 102122233101.

10133222120100 is a `hidden beast` number, since 10 + 1 + 332 + 221 + 2 + 0 + 100 = 666.

10133222120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5399604324 + 10127822515776 = 73482^2 + 3182424^2 .

It is a super-3 number, since 3×10133222120100³ (a number of 40 digits) contains 333 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 17 ways as a sum of consecutive naturals, for example, 5629566945 + ... + 5629568744.

Almost surely, 2^{10133222120100} is an apocalyptic number.

10133222120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133222120100 is an abundant number, since it is smaller than the sum of its proper divisors (21628799661390).

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

10133222120100 is a wasteful number, since it uses less digits than its factorization.

10133222120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259135709 (or 11259135699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10133222120100 its reverse (102122233101), we get a palindrome (10235344353201).

The spelling of 10133222120100 in words is "ten trillion, one hundred thirty-three billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".