10100220121 has 4 divisors (see below), whose sum is σ = 10102213044. Its totient is φ = 10098227200.

The previous prime is 10100220059. The next prime is 10100220131. The reversal of 10100220121 is 12102200101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12102200101 = 337 ⋅35911573.

It can be written as a sum of positive squares in 2 ways, for example, as 2145542400 + 7954677721 = 46320^2 + 89189^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100220121 - 2⁷ = 10100219993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100220098 and 10100220107.

It is not an unprimeable number, because it can be changed into a prime (10100220131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 988840 + ... + 999001.

It is an arithmetic number, because the mean of its divisors is an integer number (2525553261).

Almost surely, 2^10100220121 is an apocalyptic number.

It is an amenable number.

10100220121 is a deficient number, since it is larger than the sum of its proper divisors (1992923).

10100220121 is an equidigital number, since it uses as much as digits as its factorization.

10100220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992922.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100220121 its reverse (12102200101), we get a palindrome (22202420222).

The spelling of 10100220121 in words is "ten billion, one hundred million, two hundred twenty thousand, one hundred twenty-one".