100111001101121 has 16 divisors (see below), whose sum is σ = 106153529436864. Its totient is φ = 94085612135424.

The previous prime is 100111001101099. The next prime is 100111001101141. The reversal of 100111001101121 is 121101100111001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100111001101121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111001101141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46425545 + ... + 48534041.

It is an arithmetic number, because the mean of its divisors is an integer number (6634595589804).

Almost surely, 2^{100111001101121} is an apocalyptic number.

It is an amenable number.

100111001101121 is a deficient number, since it is larger than the sum of its proper divisors (6042528335743).

100111001101121 is a wasteful number, since it uses less digits than its factorization.

100111001101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112560.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111001101121 its reverse (121101100111001), we get a palindrome (221212101212122).

The spelling of 100111001101121 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred twenty-one".