10100001121 has 16 divisors (see below), whose sum is σ = 12506085504. Its totient is φ = 7958409984.

The previous prime is 10100001103. The next prime is 10100001137. The reversal of 10100001121 is 12110000101.

It is not a de Polignac number, because 10100001121 - 2²³ = 10091612513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100001421) 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 15 ways as a sum of consecutive naturals, for example, 981790 + ... + 992023.

It is an arithmetic number, because the mean of its divisors is an integer number (781630344).

Almost surely, 2^10100001121 is an apocalyptic number.

It is an amenable number.

10100001121 is a deficient number, since it is larger than the sum of its proper divisors (2406084383).

10100001121 is a wasteful number, since it uses less digits than its factorization.

10100001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973880.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100001121 its reverse (12110000101), we get a palindrome (22210001222).

The spelling of 10100001121 in words is "ten billion, one hundred million, one thousand, one hundred twenty-one".