101000101000 has 96 divisors (see below), whose sum is σ = 238727516040. Its totient is φ = 39996000000.

The previous prime is 101000100911. The next prime is 101000101001. The reversal of 101000101000 is 101000101.

It can be written as a sum of positive squares in 12 ways, for example, as 38481099556 + 62519001444 = 196166^2 + 250038^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101000101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10196050 + ... + 10205950.

Almost surely, 2^101000101000 is an apocalyptic number.

101000101000 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 101000101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119363758020).

101000101000 is an abundant number, since it is smaller than the sum of its proper divisors (137727415040).

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

101000101000 is an equidigital number, since it uses as much as digits as its factorization.

101000101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124 (or 10009 counting only the distinct ones).

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

Adding to 101000101000 its reverse (101000101), we get a palindrome (101101101101).

101000101000 divided by its reverse (101000101) gives a cube (1000 = 10³).

The spelling of 101000101000 in words is "one hundred one billion, one hundred one thousand".