100213222310221 has 8 divisors (see below), whose sum is σ = 106111194048000. Its totient is φ = 94315592384448.

The previous prime is 100213222310203. The next prime is 100213222310233. The reversal of 100213222310221 is 122013222312001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100213222310221 - 2¹⁵ = 100213222277453 is a prime.

It is a super-2 number, since 2×100213222310221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100213222310192 and 100213222310201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213222310281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84849261 + ... + 86022226.

It is an arithmetic number, because the mean of its divisors is an integer number (13263899256000).

Almost surely, 2^{100213222310221} is an apocalyptic number.

It is an amenable number.

100213222310221 is a deficient number, since it is larger than the sum of its proper divisors (5897971737779).

100213222310221 is a wasteful number, since it uses less digits than its factorization.

100213222310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170906003.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100213222310221 its reverse (122013222312001), we get a palindrome (222226444622222).

The spelling of 100213222310221 in words is "one hundred trillion, two hundred thirteen billion, two hundred twenty-two million, three hundred ten thousand, two hundred twenty-one".