101010011222221 has 16 divisors (see below), whose sum is σ = 110645980646400. Its totient is φ = 91784877020928.

The previous prime is 101010011222171. The next prime is 101010011222243. The reversal of 101010011222221 is 122222110010101.

It is a cyclic number.

It is not a de Polignac number, because 101010011222221 - 2⁹ = 101010011221709 is a prime.

It is a super-2 number, since 2×101010011222221² (a number of 29 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 = 101010011222195 and 101010011222204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010011322221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3051916 + ... + 14537338.

It is an arithmetic number, because the mean of its divisors is an integer number (6915373790400).

Almost surely, 2^{101010011222221} is an apocalyptic number.

It is an amenable number.

101010011222221 is a deficient number, since it is larger than the sum of its proper divisors (9635969424179).

101010011222221 is a wasteful number, since it uses less digits than its factorization.

101010011222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503308.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101010011222221 its reverse (122222110010101), we get a palindrome (223232121232322).

The spelling of 101010011222221 in words is "one hundred one trillion, ten billion, eleven million, two hundred twenty-two thousand, two hundred twenty-one".