102200031030031 has 32 divisors (see below), whose sum is σ = 113445045766656. Its totient is φ = 91290103632000.

The previous prime is 102200031030029. The next prime is 102200031030067. The reversal of 102200031030031 is 130030130002201.

It is a cyclic number.

It is not a de Polignac number, because 102200031030031 - 2¹ = 102200031030029 is a prime.

It is a super-2 number, since 2×102200031030031² (a number of 29 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 = 102200031029987 and 102200031030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200031036031) 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, 276344661 + ... + 276714241.

It is an arithmetic number, because the mean of its divisors is an integer number (3545157680208).

Almost surely, 2^{102200031030031} is an apocalyptic number.

102200031030031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102200031030031 is a deficient number, since it is larger than the sum of its proper divisors (11245014736625).

102200031030031 is a wasteful number, since it uses less digits than its factorization.

102200031030031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370863.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102200031030031 its reverse (130030130002201), we get a palindrome (232230161032232).

The spelling of 102200031030031 in words is "one hundred two trillion, two hundred billion, thirty-one million, thirty thousand, thirty-one".