2102222133131 has 8 divisors (see below), whose sum is σ = 2158452708720. Its totient is φ = 2046325270752.

The previous prime is 2102222133113. The next prime is 2102222133149. The reversal of 2102222133131 is 1313312222012.

It is an interprime number because it is at equal distance from previous prime (2102222133113) and next prime (2102222133149).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102222133131 is a prime.

It is a super-2 number, since 2×2102222133131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102222133097 and 2102222133106.

It is not an unprimeable number, because it can be changed into a prime (2102222139131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83415536 + ... + 83440733.

It is an arithmetic number, because the mean of its divisors is an integer number (269806588590).

Almost surely, 2^{2102222133131} is an apocalyptic number.

2102222133131 is a deficient number, since it is larger than the sum of its proper divisors (56230575589).

2102222133131 is a wasteful number, since it uses less digits than its factorization.

2102222133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166856605.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2102222133131 its reverse (1313312222012), we get a palindrome (3415534355143).

The spelling of 2102222133131 in words is "two trillion, one hundred two billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".