10100103020031 has 8 divisors (see below), whose sum is σ = 13467055220784. Its totient is φ = 6733276416320.

The previous prime is 10100103020011. The next prime is 10100103020081. The reversal of 10100103020031 is 13002030100101.

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 10100103020031 - 2¹⁰ = 10100103019007 is a prime.

It is a super-2 number, since 2×10100103020031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100103019989 and 10100103020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100103020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31211460 + ... + 31533401.

It is an arithmetic number, because the mean of its divisors is an integer number (1683381902598).

Almost surely, 2^{10100103020031} is an apocalyptic number.

10100103020031 is a deficient number, since it is larger than the sum of its proper divisors (3366952200753).

10100103020031 is an equidigital number, since it uses as much as digits as its factorization.

10100103020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62798521.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100103020031 its reverse (13002030100101), we get a palindrome (23102133120132).

The spelling of 10100103020031 in words is "ten trillion, one hundred billion, one hundred three million, twenty thousand, thirty-one".