10311210123102 has 128 divisors (see below), whose sum is σ = 26484678604800. Its totient is φ = 2912601846528.

The previous prime is 10311210123077. The next prime is 10311210123131. The reversal of 10311210123102 is 20132101211301.

10311210123102 is a `hidden beast` number, since 10 + 311 + 21 + 0 + 12 + 310 + 2 = 666.

It is a super-2 number, since 2×10311210123102² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404936023 + ... + 404961485.

It is an arithmetic number, because the mean of its divisors is an integer number (206911551600).

Almost surely, 2^{10311210123102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311210123102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242339302400).

10311210123102 is an abundant number, since it is smaller than the sum of its proper divisors (16173468481698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311210123102 is a wasteful number, since it uses less digits than its factorization.

10311210123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37607 (or 37601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10311210123102 its reverse (20132101211301), we get a palindrome (30443311334403).

The spelling of 10311210123102 in words is "ten trillion, three hundred eleven billion, two hundred ten million, one hundred twenty-three thousand, one hundred two".