10102300100311 has 16 divisors (see below), whose sum is σ = 10420698470400. Its totient is φ = 9788975748288.

The previous prime is 10102300100281. The next prime is 10102300100351. The reversal of 10102300100311 is 11300100320101.

It is a cyclic number.

It is not a de Polignac number, because 10102300100311 - 2⁵ = 10102300100279 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102300100291 and 10102300100300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102300100351) 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, 6248650 + ... + 7697416.

It is an arithmetic number, because the mean of its divisors is an integer number (651293654400).

Almost surely, 2^{10102300100311} is an apocalyptic number.

10102300100311 is a deficient number, since it is larger than the sum of its proper divisors (318398370089).

10102300100311 is a wasteful number, since it uses less digits than its factorization.

10102300100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450518.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10102300100311 its reverse (11300100320101), we get a palindrome (21402400420412).

The spelling of 10102300100311 in words is "ten trillion, one hundred two billion, three hundred million, one hundred thousand, three hundred eleven".