102210110031011 has 16 divisors (see below), whose sum is σ = 105850528005888. Its totient is φ = 98591211264000.

The previous prime is 102210110030969. The next prime is 102210110031017. The reversal of 102210110031011 is 110130011012201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102210110031011 is a prime.

It is a super-3 number, since 3×102210110031011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210110031017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99656411 + ... + 100676811.

It is an arithmetic number, because the mean of its divisors is an integer number (6615658000368).

Almost surely, 2^{102210110031011} is an apocalyptic number.

102210110031011 is a deficient number, since it is larger than the sum of its proper divisors (3640417974877).

102210110031011 is a wasteful number, since it uses less digits than its factorization.

102210110031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030942.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102210110031011 its reverse (110130011012201), we get a palindrome (212340121043212).

The spelling of 102210110031011 in words is "one hundred two trillion, two hundred ten billion, one hundred ten million, thirty-one thousand, eleven".