101721114 has 48 divisors (see below), whose sum is σ = 241488000. Its totient is φ = 30689280.

The previous prime is 101721083. The next prime is 101721127. The reversal of 101721114 is 411127101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49887 + ... + 51885.

It is an arithmetic number, because the mean of its divisors is an integer number (5031000).

Almost surely, 2^101721114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101721114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120744000).

101721114 is an abundant number, since it is smaller than the sum of its proper divisors (139766886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101721114 is a wasteful number, since it uses less digits than its factorization.

101721114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 101721114 is about 10085.6885734193. The cubic root of 101721114 is about 466.8066517689.

Adding to 101721114 its reverse (411127101), we get a palindrome (512848215).

The spelling of 101721114 in words is "one hundred one million, seven hundred twenty-one thousand, one hundred fourteen".