101011000111110 has 768 divisors, whose sum is σ = 285301351415808. Its totient is φ = 24755281689600.

The previous prime is 101011000111079. The next prime is 101011000111117. The reversal of 101011000111110 is 11111000110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011000111092 and 101011000111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000111117) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 157093312449 + ... + 157093313091.

It is an arithmetic number, because the mean of its divisors is an integer number (371486134656).

Almost surely, 2^{101011000111110} is an apocalyptic number.

101011000111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011000111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142650675707904).

101011000111110 is an abundant number, since it is smaller than the sum of its proper divisors (184290351304698).

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

101011000111110 is a wasteful number, since it uses less digits than its factorization.

101011000111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011000111110 its reverse (11111000110101), we get a palindrome (112122000221211).

The spelling of 101011000111110 in words is "one hundred one trillion, eleven billion, one hundred eleven thousand, one hundred ten".