101100001102221 has 16 divisors (see below), whose sum is σ = 147054717089280. Its totient is φ = 61272657094320.

The previous prime is 101100001102201. The next prime is 101100001102241. The reversal of 101100001102221 is 122201100001101.

It is an interprime number because it is at equal distance from previous prime (101100001102201) and next prime (101100001102241).

It is not a de Polignac number, because 101100001102221 - 2¹⁷ = 101100000971149 is a prime.

It is a super-2 number, since 2×101100001102221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100001102197 and 101100001102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001102201) 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, 48488320 + ... + 50530358.

It is an arithmetic number, because the mean of its divisors is an integer number (9190919818080).

Almost surely, 2^{101100001102221} is an apocalyptic number.

101100001102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100001102221 is a deficient number, since it is larger than the sum of its proper divisors (45954715987059).

101100001102221 is a wasteful number, since it uses less digits than its factorization.

101100001102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542336.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100001102221 its reverse (122201100001101), we get a palindrome (223301101103322).

The spelling of 101100001102221 in words is "one hundred one trillion, one hundred billion, one million, one hundred two thousand, two hundred twenty-one".