10133223012100 has 18 divisors (see below), whose sum is σ = 21989093936474. Its totient is φ = 4053289204800.

The previous prime is 10133223012097. The next prime is 10133223012119. The reversal of 10133223012100 is 121032233101.

It can be written as a sum of positive squares in 3 ways, for example, as 2206959821056 + 7926263191044 = 1485584^2 + 2815362^2 .

It is a super-2 number, since 2×10133223012100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50666114961 + ... + 50666115160.

Almost surely, 2^{10133223012100} is an apocalyptic number.

10133223012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133223012100 is an abundant number, since it is smaller than the sum of its proper divisors (11855870924374).

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

10133223012100 is a wasteful number, since it uses less digits than its factorization.

10133223012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101332230135 (or 101332230128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10133223012100 its reverse (121032233101), we get a palindrome (10254255245201).

The spelling of 10133223012100 in words is "ten trillion, one hundred thirty-three billion, two hundred twenty-three million, twelve thousand, one hundred".