121761101 has 16 divisors (see below), whose sum is σ = 159797760. Its totient is φ = 89884080.

The previous prime is 121761097. The next prime is 121761109. The reversal of 121761101 is 101167121.

It is a happy number.

It is not a de Polignac number, because 121761101 - 2² = 121761097 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 (121761109) 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, 40151 + ... + 43076.

It is an arithmetic number, because the mean of its divisors is an integer number (9987360).

Almost surely, 2^121761101 is an apocalyptic number.

121761101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121761101 is a deficient number, since it is larger than the sum of its proper divisors (38036659).

121761101 is a wasteful number, since it uses less digits than its factorization.

121761101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83264.

The product of its (nonzero) digits is 84, while the sum is 20.

The square root of 121761101 is about 11034.5412682177. The cubic root of 121761101 is about 495.6436221785.

The spelling of 121761101 in words is "one hundred twenty-one million, seven hundred sixty-one thousand, one hundred one".