100010100211221 has 8 divisors (see below), whose sum is σ = 133904736685440. Its totient is φ = 66394431938912.

The previous prime is 100010100211207. The next prime is 100010100211223. The reversal of 100010100211221 is 122112001010001.

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 100010100211221 - 2³⁴ = 99992920342037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100010100211197 and 100010100211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69742049640 + ... + 69742051073.

It is an arithmetic number, because the mean of its divisors is an integer number (16738092085680).

Almost surely, 2^{100010100211221} is an apocalyptic number.

It is an amenable number.

100010100211221 is a deficient number, since it is larger than the sum of its proper divisors (33894636474219).

100010100211221 is a wasteful number, since it uses less digits than its factorization.

100010100211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139484100955.

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

Adding to 100010100211221 its reverse (122112001010001), we get a palindrome (222122101221222).

The spelling of 100010100211221 in words is "one hundred trillion, ten billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".