101002202221 has 24 divisors (see below), whose sum is σ = 108282522600. Its totient is φ = 94187446272.

The previous prime is 101002202209. The next prime is 101002202233. The reversal of 101002202221 is 122202200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002202209) and next prime (101002202233).

It can be written as a sum of positive squares in 12 ways, for example, as 50494584100 + 50507618121 = 224710^2 + 224739^2 .

It is not a de Polignac number, because 101002202221 - 2²⁵ = 100968647789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002202251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18642705 + ... + 18648121.

It is an arithmetic number, because the mean of its divisors is an integer number (4511771775).

Almost surely, 2^101002202221 is an apocalyptic number.

It is an amenable number.

101002202221 is a deficient number, since it is larger than the sum of its proper divisors (7280320379).

101002202221 is a wasteful number, since it uses less digits than its factorization.

101002202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002202221 its reverse (122202200101), we get a palindrome (223204402322).

The spelling of 101002202221 in words is "one hundred one billion, two million, two hundred two thousand, two hundred twenty-one".