100201121122021 has 16 divisors (see below), whose sum is σ = 107254218210480. Its totient is φ = 93279791185920.

The previous prime is 100201121122013. The next prime is 100201121122051. The reversal of 100201121122021 is 120221121102001.

It can be written as a sum of positive squares in 8 ways, for example, as 60430629353796 + 39770491768225 = 7773714^2 + 6306385^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201121122021 - 2³ = 100201121122013 is a prime.

It is a super-2 number, since 2×100201121122021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201121121986 and 100201121122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201121122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45789640 + ... + 47928001.

It is an arithmetic number, because the mean of its divisors is an integer number (6703388638155).

Almost surely, 2^{100201121122021} is an apocalyptic number.

It is an amenable number.

100201121122021 is a deficient number, since it is larger than the sum of its proper divisors (7053097088459).

100201121122021 is a wasteful number, since it uses less digits than its factorization.

100201121122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93718344.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100201121122021 its reverse (120221121102001), we get a palindrome (220422242224022).

The spelling of 100201121122021 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty-one".