10201116016 has 80 divisors (see below), whose sum is σ = 25756726464. Its totient is φ = 3798208512.

The previous prime is 10201116007. The next prime is 10201116073. The reversal of 10201116016 is 61061110201.

It is a junction number, because it is equal to n+sod(n) for n = 10201115984 and 10201116002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181315 + ... + 230818.

Almost surely, 2^10201116016 is an apocalyptic number.

10201116016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10201116016 is an abundant number, since it is smaller than the sum of its proper divisors (15555610448).

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

10201116016 is a wasteful number, since it uses less digits than its factorization.

10201116016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412178 (or 412172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10201116016 its reverse (61061110201), we get a palindrome (71262226217).

The spelling of 10201116016 in words is "ten billion, two hundred one million, one hundred sixteen thousand, sixteen".