10002120102311 has 16 divisors (see below), whose sum is σ = 10473040300800. Its totient is φ = 9534215896128.

The previous prime is 10002120102269. The next prime is 10002120102319. The reversal of 10002120102311 is 11320102120001.

It is a cyclic number.

It is not a de Polignac number, because 10002120102311 - 2²⁶ = 10002052993447 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120102319) 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, 36644780 + ... + 36916718.

It is an arithmetic number, because the mean of its divisors is an integer number (654565018800).

Almost surely, 2^{10002120102311} is an apocalyptic number.

10002120102311 is a deficient number, since it is larger than the sum of its proper divisors (470920198489).

10002120102311 is a wasteful number, since it uses less digits than its factorization.

10002120102311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277478.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10002120102311 its reverse (11320102120001), we get a palindrome (21322222222312).

The spelling of 10002120102311 in words is "ten trillion, two billion, one hundred twenty million, one hundred two thousand, three hundred eleven".