101121112233 has 20 divisors (see below), whose sum is σ = 151116348240. Its totient is φ = 67387795992.

The previous prime is 101121112217. The next prime is 101121112249. The reversal of 101121112233 is 332211121101.

It is an interprime number because it is at equal distance from previous prime (101121112217) and next prime (101121112249).

It is not a de Polignac number, because 101121112233 - 2⁴ = 101121112217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121112273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33135 + ... + 450932.

It is an arithmetic number, because the mean of its divisors is an integer number (7555817412).

Almost surely, 2^101121112233 is an apocalyptic number.

It is an amenable number.

101121112233 is a deficient number, since it is larger than the sum of its proper divisors (49995236007).

101121112233 is an equidigital number, since it uses as much as digits as its factorization.

101121112233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486658 (or 486649 counting only the distinct ones).

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

Adding to 101121112233 its reverse (332211121101), we get a palindrome (433332233334).

The spelling of 101121112233 in words is "one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred thirty-three".