101101010101000 has 384 divisors, whose sum is σ = 293163166632960. Its totient is φ = 31953916800000.

The previous prime is 101101010100971. The next prime is 101101010101051. The reversal of 101101010101000 is 101010101101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 888376102 + ... + 888489898.

It is an arithmetic number, because the mean of its divisors is an integer number (763445746440).

Almost surely, 2^{101101010101000} is an apocalyptic number.

101101010101000 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 101101010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146581583316480).

101101010101000 is an abundant number, since it is smaller than the sum of its proper divisors (192062156531960).

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

101101010101000 is a wasteful number, since it uses less digits than its factorization.

101101010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114602 (or 114575 counting only the distinct ones).

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

Adding to 101101010101000 its reverse (101010101101), we get a palindrome (101202020202101).

The spelling of 101101010101000 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred one thousand".