101001120121 has 6 divisors (see below), whose sum is σ = 111017760266. Its totient is φ = 91819200000.

The previous prime is 101001120107. The next prime is 101001120149. The reversal of 101001120121 is 121021100101.

It can be written as a sum of positive squares in only one way, i.e., 61583385600 + 39417734521 = 248160^2 + 198539^2 .

It is not a de Polignac number, because 101001120121 - 2¹⁹ = 101000595833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001120098 and 101001120107.

It is not an unprimeable number, because it can be changed into a prime (101001130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417359880 + ... + 417360121.

Almost surely, 2^101001120121 is an apocalyptic number.

101001120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001120121 is a deficient number, since it is larger than the sum of its proper divisors (10016640145).

101001120121 is an equidigital number, since it uses as much as digits as its factorization.

101001120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834720023 (or 834720012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101001120121 its reverse (121021100101), we get a palindrome (222022220222).

It can be divided in two parts, 101001 and 120121, that added together give a palindrome (221122).

The spelling of 101001120121 in words is "one hundred one billion, one million, one hundred twenty thousand, one hundred twenty-one".