101100101011000 has 512 divisors, whose sum is σ = 300712118353920. Its totient is φ = 30948784128000.

The previous prime is 101100101010973. The next prime is 101100101011003. The reversal of 101100101011000 is 110101001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101011003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6412125117 + ... + 6412140883.

It is an arithmetic number, because the mean of its divisors is an integer number (587328356160).

Almost surely, 2^{101100101011000} is an apocalyptic number.

101100101011000 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 101100101011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150356059176960).

101100101011000 is an abundant number, since it is smaller than the sum of its proper divisors (199612017342920).

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

101100101011000 is a wasteful number, since it uses less digits than its factorization.

101100101011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112 (or 18098 counting only the distinct ones).

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

Adding to 101100101011000 its reverse (110101001101), we get a palindrome (101210202012101).

The spelling of 101100101011000 in words is "one hundred one trillion, one hundred billion, one hundred one million, eleven thousand".