10001121121332 has 72 divisors (see below), whose sum is σ = 28220217785760. Its totient is φ = 2960162694720.

The previous prime is 10001121121331. The next prime is 10001121121349. The reversal of 10001121121332 is 23312112110001.

10001121121332 is a `hidden beast` number, since 100 + 0 + 1 + 1 + 211 + 21 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121121331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293649907 + ... + 293683962.

Almost surely, 2^{10001121121332} is an apocalyptic number.

10001121121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001121121332 is an abundant number, since it is smaller than the sum of its proper divisors (18219096664428).

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

10001121121332 is a wasteful number, since it uses less digits than its factorization.

10001121121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587333933 (or 587333928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10001121121332 its reverse (23312112110001), we get a palindrome (33313233231333).

The spelling of 10001121121332 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-two".