100010100111221 has 16 divisors (see below), whose sum is σ = 104929560255744. Its totient is φ = 95139580402944.

The previous prime is 100010100111199. The next prime is 100010100111227. The reversal of 100010100111221 is 122111001010001.

It is a cyclic number.

It is not a de Polignac number, because 100010100111221 - 2³⁴ = 99992920242037 is a prime.

It is a super-2 number, since 2×100010100111221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11954756 + ... + 18518541.

It is an arithmetic number, because the mean of its divisors is an integer number (6558097515984).

Almost surely, 2^{100010100111221} is an apocalyptic number.

It is an amenable number.

100010100111221 is a deficient number, since it is larger than the sum of its proper divisors (4919460144523).

100010100111221 is a wasteful number, since it uses less digits than its factorization.

100010100111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30474100.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100010100111221 its reverse (122111001010001), we get a palindrome (222121101121222).

The spelling of 100010100111221 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".