101110001102000 has 160 divisors (see below), whose sum is σ = 266718553920000. Its totient is φ = 36766066272000.

The previous prime is 101110001101979. The next prime is 101110001102017. The reversal of 101110001102000 is 201100011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931843751 + ... + 931952249.

It is an arithmetic number, because the mean of its divisors is an integer number (1666990962000).

Almost surely, 2^{101110001102000} is an apocalyptic number.

101110001102000 is a gapful number since it is divisible by the number (10) 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 101110001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133359276960000).

101110001102000 is an abundant number, since it is smaller than the sum of its proper divisors (165608552818000).

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

101110001102000 is a wasteful number, since it uses less digits than its factorization.

101110001102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150892 (or 150876 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101110001102000 its reverse (201100011101), we get a palindrome (101311101113101).

The spelling of 101110001102000 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred two thousand".