101002123031 has 16 divisors (see below), whose sum is σ = 105025179648. Its totient is φ = 97029511200.

The previous prime is 101002122997. The next prime is 101002123087. The reversal of 101002123031 is 130321200101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002123031 is a prime.

It is a super-2 number, since 2×101002123031² (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 = 101002122997 and 101002123015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002123091) 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 15 ways as a sum of consecutive naturals, for example, 2305376 + ... + 2348778.

It is an arithmetic number, because the mean of its divisors is an integer number (6564073728).

Almost surely, 2^101002123031 is an apocalyptic number.

101002123031 is a deficient number, since it is larger than the sum of its proper divisors (4023056617).

101002123031 is a wasteful number, since it uses less digits than its factorization.

101002123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43982.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101002123031 its reverse (130321200101), we get a palindrome (231323323132).

The spelling of 101002123031 in words is "one hundred one billion, two million, one hundred twenty-three thousand, thirty-one".