10100111221 has 4 divisors (see below), whose sum is σ = 10221799392. Its totient is φ = 9978423052.

The previous prime is 10100111207. The next prime is 10100111227. The reversal of 10100111221 is 12211100101.

10100111221 = T₁₅₅₅₉ + T₁₅₅₆₀ + ... + T₁₅₆₄₁.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 12211100101 = 19 ⋅642689479.

It is a cyclic number.

It is not a de Polignac number, because 10100111221 - 2¹³ = 10100103029 is a prime.

It is a super-2 number, since 2×10100111221² (a number of 21 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 = 10100111198 and 10100111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60843961 + ... + 60844126.

It is an arithmetic number, because the mean of its divisors is an integer number (2555449848).

Almost surely, 2^10100111221 is an apocalyptic number.

It is an amenable number.

10100111221 is a deficient number, since it is larger than the sum of its proper divisors (121688171).

10100111221 is an equidigital number, since it uses as much as digits as its factorization.

10100111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121688170.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100111221 its reverse (12211100101), we get a palindrome (22311211322).

The spelling of 10100111221 in words is "ten billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".