101110000001076 has 144 divisors (see below), whose sum is σ = 283011557756928. Its totient is φ = 30178718856000.

The previous prime is 101110000001063. The next prime is 101110000001077. The reversal of 101110000001076 is 670100000011101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000001077) 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, 242586111 + ... + 243002553.

Almost surely, 2^{101110000001076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110000001076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141505778878464).

101110000001076 is an abundant number, since it is smaller than the sum of its proper divisors (181901557755852).

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

101110000001076 is a wasteful number, since it uses less digits than its factorization.

101110000001076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425682 (or 425677 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 101110000001076 its reverse (670100000011101), we get a palindrome (771210000012177).

The spelling of 101110000001076 in words is "one hundred one trillion, one hundred ten billion, one thousand, seventy-six".