101201111 has 8 divisors (see below), whose sum is σ = 110479248. Its totient is φ = 91936000.

The previous prime is 101201077. The next prime is 101201123. The reversal of 101201111 is 111102101.

It is a happy number.

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 101201111 - 2⁶ = 101201047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20681 + ... + 25101.

It is an arithmetic number, because the mean of its divisors is an integer number (13809906).

Almost surely, 2^101201111 is an apocalyptic number.

101201111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101201111 is a deficient number, since it is larger than the sum of its proper divisors (9278137).

101201111 is a wasteful number, since it uses less digits than its factorization.

101201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 101201111 is about 10059.8762914859. The cubic root of 101201111 is about 466.0098467836.

Adding to 101201111 its reverse (111102101), we get a palindrome (212303212).

It can be divided in two parts, 1012011 and 11, that multiplied together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 101201111 in words is "one hundred one million, two hundred one thousand, one hundred eleven".