101101211101000 has 64 divisors (see below), whose sum is σ = 258083818911360. Its totient is φ = 36764076760000.

The previous prime is 101101211100997. The next prime is 101101211101001. The reversal of 101101211101000 is 101112101101.

101101211101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101101211101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595498596 + ... + 4595520595.

It is an arithmetic number, because the mean of its divisors is an integer number (4032559670490).

Almost surely, 2^{101101211101000} is an apocalyptic number.

101101211101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101211101000 is an abundant number, since it is smaller than the sum of its proper divisors (156982607810360).

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

101101211101000 is a wasteful number, since it uses less digits than its factorization.

101101211101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191019223 (or 9191019209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101211101000 its reverse (101112101101), we get a palindrome (101202323202101).

The spelling of 101101211101000 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, one hundred one thousand".