10100102220312 has 64 divisors (see below), whose sum is σ = 28374869134080. Its totient is φ = 2972605333632.

The previous prime is 10100102220293. The next prime is 10100102220317. The reversal of 10100102220312 is 21302220100101.

It is a junction number, because it is equal to n+sod(n) for n = 10100102220291 and 10100102220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100102220317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703734618 + ... + 703748969.

It is an arithmetic number, because the mean of its divisors is an integer number (443357330220).

Almost surely, 2^{10100102220312} is an apocalyptic number.

10100102220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100102220312 is an abundant number, since it is smaller than the sum of its proper divisors (18274766913768).

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

10100102220312 is a wasteful number, since it uses less digits than its factorization.

10100102220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407483632 (or 1407483628 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10100102220312 its reverse (21302220100101), we get a palindrome (31402322320413).

The spelling of 10100102220312 in words is "ten trillion, one hundred billion, one hundred two million, two hundred twenty thousand, three hundred twelve".