101101100101000 has 64 divisors (see below), whose sum is σ = 236578115133360. Its totient is φ = 40440176640000.

The previous prime is 101101100100991. The next prime is 101101100101007. The reversal of 101101100101000 is 101001101101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23052462484804 + 78048637616196 = 4801298^2 + 8834514^2 .

It is not an unprimeable number, because it can be changed into a prime (101101100101007) 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, 243573640 + ... + 243988360.

Almost surely, 2^{101101100101000} is an apocalyptic number.

101101100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101100101000 is an abundant number, since it is smaller than the sum of its proper divisors (135477015032360).

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

101101100101000 is a wasteful number, since it uses less digits than its factorization.

101101100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658523 (or 658509 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101100101000 its reverse (101001101101), we get a palindrome (101202101202101).

The spelling of 101101100101000 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand".