100101021210221 has 8 divisors (see below), whose sum is σ = 100359603691704. Its totient is φ = 99842483276800.

The previous prime is 100101021210187. The next prime is 100101021210227. The reversal of 100101021210221 is 122012120101001.

It can be written as a sum of positive squares in 4 ways, for example, as 1898569828996 + 98202451381225 = 1377886^2 + 9909715^2 .

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 100101021210221 - 2¹⁰ = 100101021209197 is a prime.

It is a super-2 number, since 2×100101021210221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101021210196 and 100101021210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101021210227) 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, 6634796 + ... + 15627621.

It is an arithmetic number, because the mean of its divisors is an integer number (12544950461463).

Almost surely, 2^{100101021210221} is an apocalyptic number.

It is an amenable number.

100101021210221 is a deficient number, since it is larger than the sum of its proper divisors (258582481483).

100101021210221 is a wasteful number, since it uses less digits than its factorization.

100101021210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22274031.

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

Adding to 100101021210221 its reverse (122012120101001), we get a palindrome (222113141311222).

The spelling of 100101021210221 in words is "one hundred trillion, one hundred one billion, twenty-one million, two hundred ten thousand, two hundred twenty-one".