10010101122211 has 8 divisors (see below), whose sum is σ = 10185808422240. Its totient is φ = 9835436596032.

The previous prime is 10010101122191. The next prime is 10010101122247. The reversal of 10010101122211 is 11222110101001.

It is a happy number.

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-10010101122211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010101122191 and 10010101122200.

It is not an unprimeable number, because it can be changed into a prime (10010101122611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260674096 + ... + 260712493.

It is an arithmetic number, because the mean of its divisors is an integer number (1273226052780).

Almost surely, 2^{10010101122211} is an apocalyptic number.

10010101122211 is a deficient number, since it is larger than the sum of its proper divisors (175707300029).

10010101122211 is an equidigital number, since it uses as much as digits as its factorization.

10010101122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521386925.

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

Adding to 10010101122211 its reverse (11222110101001), we get a palindrome (21232211223212).

The spelling of 10010101122211 in words is "ten trillion, ten billion, one hundred one million, one hundred twenty-two thousand, two hundred eleven".