10031312211102 has 192 divisors, whose sum is σ = 27511053932544. Its totient is φ = 2570565507840.

The previous prime is 10031312211083. The next prime is 10031312211121. The reversal of 10031312211102 is 20111221313001.

10031312211102 is a `hidden beast` number, since 10 + 0 + 31 + 312 + 211 + 102 = 666.

10031312211102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10031312211083) and next prime (10031312211121).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43946727 + ... + 44174397.

It is an arithmetic number, because the mean of its divisors is an integer number (143286739232).

Almost surely, 2^{10031312211102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031312211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755526966272).

10031312211102 is an abundant number, since it is smaller than the sum of its proper divisors (17479741721442).

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

10031312211102 is a wasteful number, since it uses less digits than its factorization.

10031312211102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228463 (or 228460 counting only the distinct ones).

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

Adding to 10031312211102 its reverse (20111221313001), we get a palindrome (30142533524103).

The spelling of 10031312211102 in words is "ten trillion, thirty-one billion, three hundred twelve million, two hundred eleven thousand, one hundred two".