1010101011000 has 128 divisors (see below), whose sum is σ = 3179405736000. Its totient is φ = 266976460800.

The previous prime is 1010101010983. The next prime is 1010101011001. The reversal of 1010101011000 is 1101010101.

1010101011000 is digitally balanced in base 2, 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1010101011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150825 + ... + 1828824.

Almost surely, 2^{1010101011000} is an apocalyptic number.

1010101011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010101011000 is an abundant number, since it is smaller than the sum of its proper divisors (2169304725000).

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

1010101011000 is a wasteful number, since it uses less digits than its factorization.

1010101011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979786 (or 2979772 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010101011000 its reverse (1101010101), we get a palindrome (1011202021101).

The spelling of 1010101011000 in words is "one trillion, ten billion, one hundred one million, eleven thousand".