10100211201221 has 8 divisors (see below), whose sum is σ = 10228168778880. Its totient is φ = 9972256293792.

The previous prime is 10100211201217. The next prime is 10100211201233. The reversal of 10100211201221 is 12210211200101.

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 10100211201221 - 2² = 10100211201217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100211201196 and 10100211201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211201251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7588001 + ... + 8819193.

It is an arithmetic number, because the mean of its divisors is an integer number (1278521097360).

Almost surely, 2^{10100211201221} is an apocalyptic number.

It is an amenable number.

10100211201221 is a deficient number, since it is larger than the sum of its proper divisors (127957577659).

10100211201221 is a wasteful number, since it uses less digits than its factorization.

10100211201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335115.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100211201221 its reverse (12210211200101), we get a palindrome (22310422401322).

The spelling of 10100211201221 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred one thousand, two hundred twenty-one".