100221212131101 has 12 divisors (see below), whose sum is σ = 152383129556320. Its totient is φ = 63297607661640.

The previous prime is 100221212131099. The next prime is 100221212131147. The reversal of 100221212131101 is 101131212122001.

It is a happy number.

100221212131101 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 212 + 131 + 101 = 666.

It is not a de Polignac number, because 100221212131101 - 2¹ = 100221212131099 is a prime.

It is a super-2 number, since 2×100221212131101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221212130101) 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 11 ways as a sum of consecutive naturals, for example, 293044479745 + ... + 293044480086.

Almost surely, 2^{100221212131101} is an apocalyptic number.

It is an amenable number.

100221212131101 is a deficient number, since it is larger than the sum of its proper divisors (52161917425219).

100221212131101 is a wasteful number, since it uses less digits than its factorization.

100221212131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586088959856 (or 586088959853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100221212131101 its reverse (101131212122001), we get a palindrome (201352424253102).

The spelling of 100221212131101 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twelve million, one hundred thirty-one thousand, one hundred one".