101000002212221 has 16 divisors (see below), whose sum is σ = 119276064181248. Its totient is φ = 83778803505360.

The previous prime is 101000002212199. The next prime is 101000002212281. The reversal of 101000002212221 is 122212200000101.

It is not a de Polignac number, because 101000002212221 - 2²⁶ = 100999935103357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000002212196 and 101000002212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000002212281) 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, 241954730 + ... + 242371803.

It is an arithmetic number, because the mean of its divisors is an integer number (7454754011328).

Almost surely, 2^{101000002212221} is an apocalyptic number.

It is an amenable number.

101000002212221 is a deficient number, since it is larger than the sum of its proper divisors (18276061969027).

101000002212221 is an frugal number, since it uses more digits than its factorization.

101000002212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484326633 (or 484326571 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101000002212221 its reverse (122212200000101), we get a palindrome (223212202212322).

The spelling of 101000002212221 in words is "one hundred one trillion, two million, two hundred twelve thousand, two hundred twenty-one".