10102211102011 has 32 divisors (see below), whose sum is σ = 12346964517888. Its totient is φ = 8068104299520.

The previous prime is 10102211102003. The next prime is 10102211102033. The reversal of 10102211102011 is 11020111220101.

It is a happy number.

It is not a de Polignac number, because 10102211102011 - 2³ = 10102211102003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102211101982 and 10102211102000.

It is not an unprimeable number, because it can be changed into a prime (10102211102911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40704351 + ... + 40951783.

It is an arithmetic number, because the mean of its divisors is an integer number (385842641184).

Almost surely, 2^{10102211102011} is an apocalyptic number.

10102211102011 is a deficient number, since it is larger than the sum of its proper divisors (2244753415877).

10102211102011 is a wasteful number, since it uses less digits than its factorization.

10102211102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250891.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102211102011 its reverse (11020111220101), we get a palindrome (21122322322112).

The spelling of 10102211102011 in words is "ten trillion, one hundred two billion, two hundred eleven million, one hundred two thousand, eleven".