10102101121312 has 96 divisors (see below), whose sum is σ = 20619464710320. Its totient is φ = 4866187898880.

The previous prime is 10102101121297. The next prime is 10102101121373. The reversal of 10102101121312 is 21312110120101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9284964671376 + 817136449936 = 3047124^2 + 903956^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897081762 + ... + 897093022.

Almost surely, 2^{10102101121312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102101121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309732355160).

10102101121312 is an abundant number, since it is smaller than the sum of its proper divisors (10517363589008).

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

10102101121312 is a wasteful number, since it uses less digits than its factorization.

10102101121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10102101121312 its reverse (21312110120101), we get a palindrome (31414211241413).

The spelling of 10102101121312 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, three hundred twelve".