100122220020121 has 8 divisors (see below), whose sum is σ = 107824011921864. Its totient is φ = 92420439928320.

The previous prime is 100122220020107. The next prime is 100122220020127. The reversal of 100122220020121 is 121020022221001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43562494835721 + 56559725184400 = 6600189^2 + 7520620^2 .

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 100122220020121 - 2¹⁵ = 100122219987353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122220020095 and 100122220020104.

It is not an unprimeable number, because it can be changed into a prime (100122220020127) 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, 23302281 + ... + 27262441.

It is an arithmetic number, because the mean of its divisors is an integer number (13478001490233).

Almost surely, 2^{100122220020121} is an apocalyptic number.

It is an amenable number.

100122220020121 is a deficient number, since it is larger than the sum of its proper divisors (7701791901743).

100122220020121 is a wasteful number, since it uses less digits than its factorization.

100122220020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904971.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122220020121 its reverse (121020022221001), we get a palindrome (221142242241122).

The spelling of 100122220020121 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, twenty thousand, one hundred twenty-one".