10100100211221 has 8 divisors (see below), whose sum is σ = 13474327846240. Its totient is φ = 6729636358512.

The previous prime is 10100100211181. The next prime is 10100100211261. The reversal of 10100100211221 is 12211200100101.

It is an interprime number because it is at equal distance from previous prime (10100100211181) and next prime (10100100211261).

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

It is not a de Polignac number, because 10100100211221 - 2²⁵ = 10100066656789 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100211197 and 10100100211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100211261) 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, 940939315 + ... + 940950048.

It is an arithmetic number, because the mean of its divisors is an integer number (1684290980780).

Almost surely, 2^{10100100211221} is an apocalyptic number.

It is an amenable number.

10100100211221 is a deficient number, since it is larger than the sum of its proper divisors (3374227635019).

10100100211221 is a wasteful number, since it uses less digits than its factorization.

10100100211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881891155.

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

Adding to 10100100211221 its reverse (12211200100101), we get a palindrome (22311300311322).

The spelling of 10100100211221 in words is "ten trillion, one hundred billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".