10100100033331 has 8 divisors (see below), whose sum is σ = 12592332509184. Its totient is φ = 7870207818120.

The previous prime is 10100100033299. The next prime is 10100100033343. The reversal of 10100100033331 is 13333000100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100100033331 - 2⁵ = 10100100033299 is a prime.

It is a super-2 number, since 2×10100100033331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100100033371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65585065075 + ... + 65585065228.

It is an arithmetic number, because the mean of its divisors is an integer number (1574041563648).

Almost surely, 2^{10100100033331} is an apocalyptic number.

10100100033331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100100033331 is a deficient number, since it is larger than the sum of its proper divisors (2492232475853).

10100100033331 is a wasteful number, since it uses less digits than its factorization.

10100100033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131170130321.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10100100033331 its reverse (13333000100101), we get a palindrome (23433100133432).

The spelling of 10100100033331 in words is "ten trillion, one hundred billion, one hundred million, thirty-three thousand, three hundred thirty-one".