102144210031 has 32 divisors (see below), whose sum is σ = 112492281600. Its totient is φ = 92316188160.

The previous prime is 102144210013. The next prime is 102144210061. The reversal of 102144210031 is 130012441201.

It is a cyclic number.

It is not a de Polignac number, because 102144210031 - 2²⁵ = 102110655599 is a prime.

It is a super-2 number, since 2×102144210031² (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 = 102144209990 and 102144210008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144210001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105194376 + ... + 105195346.

It is an arithmetic number, because the mean of its divisors is an integer number (3515383800).

Almost surely, 2^102144210031 is an apocalyptic number.

102144210031 is a deficient number, since it is larger than the sum of its proper divisors (10348071569).

102144210031 is a wasteful number, since it uses less digits than its factorization.

102144210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102144210031 its reverse (130012441201), we get a palindrome (232156651232).

The spelling of 102144210031 in words is "one hundred two billion, one hundred forty-four million, two hundred ten thousand, thirty-one".