101101000000 has 784 divisors, whose sum is σ = 340038147456. Its totient is φ = 28800000000.

The previous prime is 101100999941. The next prime is 101101000001. The reversal of 101101000000 is 101101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1000999950 + ... + 1001000050.

Almost surely, 2^101101000000 is an apocalyptic number.

101101000000 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 101101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170019073728).

101101000000 is an abundant number, since it is smaller than the sum of its proper divisors (238937147456).

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

101101000000 is an equidigital number, since it uses as much as digits as its factorization.

101101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101101000000 its reverse (101101), we get a palindrome (101101101101).

101101000000 divided by its reverse (101101) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 101 and 101000000, that multiplied together give a square (10201000000 = 101000²).

The spelling of 101101000000 in words is "one hundred one billion, one hundred one million", and thus it is an aban number.