102212211010311 has 24 divisors (see below), whose sum is σ = 149495049671760. Its totient is φ = 67288793040000.

The previous prime is 102212211010307. The next prime is 102212211010331. The reversal of 102212211010311 is 113010112212201.

It is a happy number.

102212211010311 is a `hidden beast` number, since 1 + 0 + 221 + 22 + 110 + 1 + 0 + 311 = 666.

102212211010311 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102212211010311 - 2² = 102212211010307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212211010331) 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, 147999390 + ... + 148688411.

It is an arithmetic number, because the mean of its divisors is an integer number (6228960402990).

Almost surely, 2^{102212211010311} is an apocalyptic number.

102212211010311 is a deficient number, since it is larger than the sum of its proper divisors (47282838661449).

102212211010311 is a wasteful number, since it uses less digits than its factorization.

102212211010311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296688287 (or 296688284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102212211010311 its reverse (113010112212201), we get a palindrome (215222323222512).

The spelling of 102212211010311 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, ten thousand, three hundred eleven".