10111051111616 has 224 divisors, whose sum is σ = 26575557305472. Its totient is φ = 3702965207040.

The previous prime is 10111051111591. The next prime is 10111051111621. The reversal of 10111051111616 is 61611115011101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10111051111616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5202410 + ... + 6876566.

It is an arithmetic number, because the mean of its divisors is an integer number (118640880828).

Almost surely, 2^{10111051111616} is an apocalyptic number.

10111051111616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111051111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287778652736).

10111051111616 is an abundant number, since it is smaller than the sum of its proper divisors (16464506193856).

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

10111051111616 is a wasteful number, since it uses less digits than its factorization.

10111051111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674267 (or 1674257 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 26.

Adding to 10111051111616 its reverse (61611115011101), we get a palindrome (71722166122717).

The spelling of 10111051111616 in words is "ten trillion, one hundred eleven billion, fifty-one million, one hundred eleven thousand, six hundred sixteen".