102010220302311 has 96 divisors (see below), whose sum is σ = 155302871592960. Its totient is φ = 66905147232000.

The previous prime is 102010220302307. The next prime is 102010220302321. The reversal of 102010220302311 is 113203022010201.

102010220302311 is a `hidden beast` number, since 1 + 0 + 20 + 10 + 2 + 20 + 302 + 311 = 666.

It is not a de Polignac number, because 102010220302311 - 2² = 102010220302307 is a prime.

It is a super-2 number, since 2×102010220302311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010220302321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2715835971 + ... + 2715873531.

It is an arithmetic number, because the mean of its divisors is an integer number (1617738245760).

Almost surely, 2^{102010220302311} is an apocalyptic number.

102010220302311 is a deficient number, since it is larger than the sum of its proper divisors (53292651290649).

102010220302311 is a wasteful number, since it uses less digits than its factorization.

102010220302311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38379 (or 38367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102010220302311 its reverse (113203022010201), we get a palindrome (215213242312512).

The spelling of 102010220302311 in words is "one hundred two trillion, ten billion, two hundred twenty million, three hundred two thousand, three hundred eleven".