10132122100031 has 8 divisors (see below), whose sum is σ = 10146257400240. Its totient is φ = 10117990779328.

The previous prime is 10132122099989. The next prime is 10132122100057. The reversal of 10132122100031 is 13000122123101.

10132122100031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10132122100031 is a prime.

It is a super-2 number, since 2×10132122100031² (a number of 27 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 = 10132122099982 and 10132122100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132122100091) 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, 4119140 + ... + 6101766.

It is an arithmetic number, because the mean of its divisors is an integer number (1268282175030).

Almost surely, 2^{10132122100031} is an apocalyptic number.

10132122100031 is a deficient number, since it is larger than the sum of its proper divisors (14135300209).

10132122100031 is an equidigital number, since it uses as much as digits as its factorization.

10132122100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989753.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10132122100031 its reverse (13000122123101), we get a palindrome (23132244223132).

The spelling of 10132122100031 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred thousand, thirty-one".