121838101 has 16 divisors (see below), whose sum is σ = 155611008. Its totient is φ = 92620800.

The previous prime is 121838083. The next prime is 121838113. The reversal of 121838101 is 101838121.

It is a cyclic number.

It is not a de Polignac number, because 121838101 - 2²¹ = 119740949 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121838131) 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, 16140 + ... + 22453.

It is an arithmetic number, because the mean of its divisors is an integer number (9725688).

Almost surely, 2^121838101 is an apocalyptic number.

121838101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121838101 is a deficient number, since it is larger than the sum of its proper divisors (33772907).

121838101 is a wasteful number, since it uses less digits than its factorization.

121838101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38652.

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 121838101 is about 11038.0297607861. The cubic root of 121838101 is about 495.7480795038.

The spelling of 121838101 in words is "one hundred twenty-one million, eight hundred thirty-eight thousand, one hundred one".