100121122211221 has 8 divisors (see below), whose sum is σ = 105428334906080. Its totient is φ = 94817677511088.

The previous prime is 100121122211161. The next prime is 100121122211233. The reversal of 100121122211221 is 122112221121001.

It is a happy number.

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 100121122211221 - 2⁹ = 100121122210709 is a prime.

It is a super-2 number, since 2×100121122211221² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121122211281) 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, 941944131 + ... + 942050416.

It is an arithmetic number, because the mean of its divisors is an integer number (13178541863260).

Almost surely, 2^{100121122211221} is an apocalyptic number.

It is an amenable number.

100121122211221 is a deficient number, since it is larger than the sum of its proper divisors (5307212694859).

100121122211221 is a wasteful number, since it uses less digits than its factorization.

100121122211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883997363.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100121122211221 its reverse (122112221121001), we get a palindrome (222233343332222).

The spelling of 100121122211221 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".