101616021 has 48 divisors (see below), whose sum is σ = 171085824. Its totient is φ = 57549312.

The previous prime is 101615977. The next prime is 101616037. The reversal of 101616021 is 120616101.

101616021 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 602 + 1 = 666.

It is not a de Polignac number, because 101616021 - 2¹¹ = 101613973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101615985 and 101616003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101616071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92940 + ... + 94026.

It is an arithmetic number, because the mean of its divisors is an integer number (3564288).

Almost surely, 2^101616021 is an apocalyptic number.

It is an amenable number.

101616021 is a deficient number, since it is larger than the sum of its proper divisors (69469803).

101616021 is a wasteful number, since it uses less digits than its factorization.

101616021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101616021 is about 10080.4772208462. The cubic root of 101616021 is about 466.6458362017.

The spelling of 101616021 in words is "one hundred one million, six hundred sixteen thousand, twenty-one".