101101000106000 has 80 divisors (see below), whose sum is σ = 244464697030320. Its totient is φ = 40439989990400.

The previous prime is 101101000105961. The next prime is 101101000106023. The reversal of 101101000106000 is 601000101101.

It can be written as a sum of positive squares in 8 ways, for example, as 66468669620224 + 34632330485776 = 8152832^2 + 5884924^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101101000106000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266364356 + ... + 266743644.

It is an arithmetic number, because the mean of its divisors is an integer number (3055808712879).

Almost surely, 2^{101101000106000} is an apocalyptic number.

101101000106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101000106000 is an abundant number, since it is smaller than the sum of its proper divisors (143363696924320).

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

101101000106000 is a wasteful number, since it uses less digits than its factorization.

101101000106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512589 (or 512573 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101101000106000 its reverse (601000101101), we get a palindrome (101702000207101).

The spelling of 101101000106000 in words is "one hundred one trillion, one hundred one billion, one hundred six thousand".