101101012000 has 96 divisors (see below), whose sum is σ = 248547564720. Its totient is φ = 40417228800.

The previous prime is 101101011983. The next prime is 101101012021. The reversal of 101101012000 is 210101101.

It can be written as a sum of positive squares in 8 ways, for example, as 42368458896 + 58732553104 = 205836^2 + 242348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109772 + ... + 8122228.

Almost surely, 2^101101012000 is an apocalyptic number.

101101012000 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 101101012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124273782360).

101101012000 is an abundant number, since it is smaller than the sum of its proper divisors (147446552720).

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

101101012000 is a wasteful number, since it uses less digits than its factorization.

101101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14511 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101101012000 its reverse (210101101), we get a palindrome (101311113101).

The spelling of 101101012000 in words is "one hundred one billion, one hundred one million, twelve thousand".