100220422101201 has 12 divisors (see below), whose sum is σ = 146745884417028. Its totient is φ = 65898359737344.

The previous prime is 100220422101181. The next prime is 100220422101211. The reversal of 100220422101201 is 102101224022001.

100220422101201 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 422 + 1 + 0 + 1 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68473970010000 + 31746452091201 = 8274900^2 + 5634399^2 .

It is not a de Polignac number, because 100220422101201 - 2²¹ = 100220420004049 is a prime.

It is a super-2 number, since 2×100220422101201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100220422101211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76271249040 + ... + 76271250353.

It is an arithmetic number, because the mean of its divisors is an integer number (12228823701419).

Almost surely, 2^{100220422101201} is an apocalyptic number.

It is an amenable number.

100220422101201 is a deficient number, since it is larger than the sum of its proper divisors (46525462315827).

100220422101201 is a wasteful number, since it uses less digits than its factorization.

100220422101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152542499472 (or 152542499469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100220422101201 its reverse (102101224022001), we get a palindrome (202321646123202).

The spelling of 100220422101201 in words is "one hundred trillion, two hundred twenty billion, four hundred twenty-two million, one hundred one thousand, two hundred one".