101000001121110 has 1536 divisors, whose sum is σ = 367084159303680. Its totient is φ = 18660533760000.

The previous prime is 101000001121051. The next prime is 101000001121111. The reversal of 101000001121110 is 11121100000101.

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 = 101000001121092 and 101000001121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001121111) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 19996038085 + ... + 19996043135.

It is an arithmetic number, because the mean of its divisors is an integer number (238987082880).

Almost surely, 2^{101000001121110} is an apocalyptic number.

101000001121110 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 101000001121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183542079651840).

101000001121110 is an abundant number, since it is smaller than the sum of its proper divisors (266084158182570).

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

101000001121110 is a wasteful number, since it uses less digits than its factorization.

101000001121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101000001121110 its reverse (11121100000101), we get a palindrome (112121101121211).

The spelling of 101000001121110 in words is "one hundred one trillion, one million, one hundred twenty-one thousand, one hundred ten".