100011201121 has 8 divisors (see below), whose sum is σ = 107707310144. Its totient is φ = 92315512080.

The previous prime is 100011201083. The next prime is 100011201131. The reversal of 100011201121 is 121102110001.

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 100011201121 - 2⁹ = 100011200609 is a prime.

It is a super-2 number, since 2×100011201121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011201098 and 100011201107.

It is not an unprimeable number, because it can be changed into a prime (100011201131) 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, 533386 + ... + 696076.

It is an arithmetic number, because the mean of its divisors is an integer number (13463413768).

Almost surely, 2^100011201121 is an apocalyptic number.

It is an amenable number.

100011201121 is a deficient number, since it is larger than the sum of its proper divisors (7696109023).

100011201121 is a wasteful number, since it uses less digits than its factorization.

100011201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209991.

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

Adding to 100011201121 its reverse (121102110001), we get a palindrome (221113311122).

The spelling of 100011201121 in words is "one hundred billion, eleven million, two hundred one thousand, one hundred twenty-one".