100121121001 has 24 divisors (see below), whose sum is σ = 113152161024. Its totient is φ = 88470360000.

The previous prime is 100121120993. The next prime is 100121121007.

100121121001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100121121001 - 2³ = 100121120993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121121007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307196 + ... + 1381666.

It is an arithmetic number, because the mean of its divisors is an integer number (4714673376).

Almost surely, 2^100121121001 is an apocalyptic number.

100121121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121121001 is a deficient number, since it is larger than the sum of its proper divisors (13031040023).

100121121001 is a wasteful number, since it uses less digits than its factorization.

100121121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74805 (or 74794 counting only the distinct ones).

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

It can be divided in two parts, 100121 and 121001, that multiplied together give a palindrome (12114741121).

The spelling of 100121121001 in words is "one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one".