100121221101 has 32 divisors (see below), whose sum is σ = 146052200448. Its totient is φ = 60504200640.

The previous prime is 100121221099. The next prime is 100121221147. The reversal of 100121221101 is 101122121001.

It is not a de Polignac number, because 100121221101 - 2¹ = 100121221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121221301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29681451 + ... + 29684823.

It is an arithmetic number, because the mean of its divisors is an integer number (4564131264).

Almost surely, 2^100121221101 is an apocalyptic number.

100121221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121221101 is a deficient number, since it is larger than the sum of its proper divisors (45930979347).

100121221101 is a wasteful number, since it uses less digits than its factorization.

100121221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121221101 its reverse (101122121001), we get a palindrome (201243342102).

The spelling of 100121221101 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".