101115016101 has 48 divisors (see below), whose sum is σ = 164817132480. Its totient is φ = 59196303360.

The previous prime is 101115016061. The next prime is 101115016151. The reversal of 101115016101 is 101610511101.

It is a happy number.

101115016101 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 50 + 1 + 610 + 1 = 666.

It is not a de Polignac number, because 101115016101 - 2¹⁴ = 101114999717 is a prime.

It is a super-2 number, since 2×101115016101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101115016151) 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, 409861 + ... + 608453.

It is an arithmetic number, because the mean of its divisors is an integer number (3433690260).

Almost surely, 2^101115016101 is an apocalyptic number.

101115016101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101115016101 is a deficient number, since it is larger than the sum of its proper divisors (63702116379).

101115016101 is a wasteful number, since it uses less digits than its factorization.

101115016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198786 (or 198783 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 101115016101 its reverse (101610511101), we get a palindrome (202725527202).

The spelling of 101115016101 in words is "one hundred one billion, one hundred fifteen million, sixteen thousand, one hundred one".