100122211221201 has 96 divisors (see below), whose sum is σ = 163051029872640. Its totient is φ = 58780213833600.

The previous prime is 100122211221181. The next prime is 100122211221209. The reversal of 100122211221201 is 102122112221001.

100122211221201 is a `hidden beast` number, since 10 + 0 + 1 + 22 + 211 + 221 + 201 = 666.

It is not a de Polignac number, because 100122211221201 - 2¹⁹ = 100122210696913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100122211221209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4060258210 + ... + 4060282868.

It is an arithmetic number, because the mean of its divisors is an integer number (1698448227840).

Almost surely, 2^{100122211221201} is an apocalyptic number.

It is an amenable number.

100122211221201 is a deficient number, since it is larger than the sum of its proper divisors (62928818651439).

100122211221201 is a wasteful number, since it uses less digits than its factorization.

100122211221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40547 (or 40544 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122211221201 its reverse (102122112221001), we get a palindrome (202244323442202).

The spelling of 100122211221201 in words is "one hundred trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred one".