10101101101000 has 768 divisors, whose sum is σ = 30652713861120. Its totient is φ = 3046792320000.

The previous prime is 10101101100941. The next prime is 10101101101051. The reversal of 10101101101000 is 10110110101.

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 191 ways as a sum of consecutive naturals, for example, 2457088945 + ... + 2457093055.

It is an arithmetic number, because the mean of its divisors is an integer number (39912387840).

Almost surely, 2^{10101101101000} is an apocalyptic number.

10101101101000 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 10101101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326356930560).

10101101101000 is an abundant number, since it is smaller than the sum of its proper divisors (20551612760120).

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

10101101101000 is a wasteful number, since it uses less digits than its factorization.

10101101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4236 counting only the distinct ones).

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

Adding to 10101101101000 its reverse (10110110101), we get a palindrome (10111211211101).

It can be divided in two parts, 10101 and 101101000, that added together give a palindrome (101111101).

The spelling of 10101101101000 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand".