10102400031 has 8 divisors (see below), whose sum is σ = 13545118080. Its totient is φ = 6697307672.

The previous prime is 10102399981. The next prime is 10102400047. The reversal of 10102400031 is 13000420101.

It is a happy number.

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 10102400031 - 2¹⁴ = 10102383647 is a prime.

It is a super-2 number, since 2×10102400031² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102400051) 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, 9405795 + ... + 9406868.

It is an arithmetic number, because the mean of its divisors is an integer number (1693139760).

Almost surely, 2^10102400031 is an apocalyptic number.

10102400031 is a deficient number, since it is larger than the sum of its proper divisors (3442718049).

10102400031 is a wasteful number, since it uses less digits than its factorization.

10102400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812845.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102400031 its reverse (13000420101), we get a palindrome (23102820132).

The spelling of 10102400031 in words is "ten billion, one hundred two million, four hundred thousand, thirty-one".