10101010101000 has 1024 divisors, whose sum is σ = 40234680944640. Its totient is φ = 2052864000000.

The previous prime is 10101010100981. The next prime is 10101010101011. The reversal of 10101010101000 is 10101010101.

10101010101000 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 10101010101000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1020196050 + ... + 1020205950.

It is an arithmetic number, because the mean of its divisors is an integer number (39291680610).

Almost surely, 2^{10101010101000} is an apocalyptic number.

10101010101000 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 10101010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117340472320).

10101010101000 is an abundant number, since it is smaller than the sum of its proper divisors (30133670843640).

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

10101010101000 is a wasteful number, since it uses less digits than its factorization.

10101010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10069 counting only the distinct ones).

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

Adding to 10101010101000 its reverse (10101010101), we get a palindrome (10111111111101).

10101010101000 divided by its reverse (10101010101) gives a cube (1000 = 10³).

It can be divided in two parts, 101010 and 10101000, that multiplied together give a square (1020302010000 = 1010100²).

The spelling of 10101010101000 in words is "ten trillion, one hundred one billion, ten million, one hundred one thousand".