121000112101 has 48 divisors (see below), whose sum is σ = 142878487680. Its totient is φ = 101582208000.

The previous prime is 121000112087. The next prime is 121000112153. The reversal of 121000112101 is 101211000121.

It is not a de Polignac number, because 121000112101 - 2¹¹ = 121000110053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000112161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51686191 + ... + 51688531.

It is an arithmetic number, because the mean of its divisors is an integer number (2976635160).

Almost surely, 2^121000112101 is an apocalyptic number.

121000112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121000112101 is a deficient number, since it is larger than the sum of its proper divisors (21878375579).

121000112101 is a wasteful number, since it uses less digits than its factorization.

121000112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2669 counting only the distinct ones).

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

Adding to 121000112101 its reverse (101211000121), we get a palindrome (222211112222).

The spelling of 121000112101 in words is "one hundred twenty-one billion, one hundred twelve thousand, one hundred one".