101234101 has 8 divisors (see below), whose sum is σ = 102415320. Its totient is φ = 100058112.

The previous prime is 101234093. The next prime is 101234123. The reversal of 101234101 is 101432101.

It can be written as a sum of positive squares in 4 ways, for example, as 11553201 + 89680900 = 3399^2 + 9470^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101234101 - 2³ = 101234093 is a prime.

It is a super-3 number, since 3×101234101³ (a number of 25 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101234131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47895 + ... + 49963.

It is an arithmetic number, because the mean of its divisors is an integer number (12801915).

Almost surely, 2^101234101 is an apocalyptic number.

It is an amenable number.

101234101 is a deficient number, since it is larger than the sum of its proper divisors (1181219).

101234101 is a wasteful number, since it uses less digits than its factorization.

101234101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101234101 is about 10061.5158400710. The cubic root of 101234101 is about 466.0604786212.

Adding to 101234101 its reverse (101432101), we get a palindrome (202666202).

The spelling of 101234101 in words is "one hundred one million, two hundred thirty-four thousand, one hundred one".