101121000031 has 4 divisors (see below), whose sum is σ = 101466123192. Its totient is φ = 100775876872.

The previous prime is 101120999999. The next prime is 101121000053. The reversal of 101121000031 is 130000121101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101121000031 - 2⁵ = 101120999999 is a prime.

It is a super-2 number, since 2×101121000031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120999981 and 101121000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121000931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172561141 + ... + 172561726.

It is an arithmetic number, because the mean of its divisors is an integer number (25366530798).

Almost surely, 2^101121000031 is an apocalyptic number.

101121000031 is a deficient number, since it is larger than the sum of its proper divisors (345123161).

101121000031 is an equidigital number, since it uses as much as digits as its factorization.

101121000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345123160.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101121000031 its reverse (130000121101), we get a palindrome (231121121132).

The spelling of 101121000031 in words is "one hundred one billion, one hundred twenty-one million, thirty-one", and thus it is an aban number.