102010220122311 has 24 divisors (see below), whose sum is σ = 147615587131376. Its totient is φ = 67883410800000.

The previous prime is 102010220122301. The next prime is 102010220122357. The reversal of 102010220122311 is 113221022010201.

102010220122311 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 10 + 220 + 122 + 311 = 666.

It is not a de Polignac number, because 102010220122311 - 2¹³ = 102010220114119 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 (102010220122301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20009811 + ... + 24584811.

Almost surely, 2^{102010220122311} is an apocalyptic number.

102010220122311 is a deficient number, since it is larger than the sum of its proper divisors (45605367009065).

102010220122311 is a wasteful number, since it uses less digits than its factorization.

102010220122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579503 (or 4579500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102010220122311 its reverse (113221022010201), we get a palindrome (215231242132512).

The spelling of 102010220122311 in words is "one hundred two trillion, ten billion, two hundred twenty million, one hundred twenty-two thousand, three hundred eleven".