101018000 has 80 divisors (see below), whose sum is σ = 249131376. Its totient is φ = 39603200.

The previous prime is 101017999. The next prime is 101018009. The reversal of 101018000 is 810101.

It can be written as a sum of positive squares in 8 ways, for example, as 26091664 + 74926336 = 5108^2 + 8656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101018009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105524 + ... + 106476.

Almost surely, 2^101018000 is an apocalyptic number.

101018000 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 101018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124565688).

101018000 is an abundant number, since it is smaller than the sum of its proper divisors (148113376).

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

101018000 is an equidigital number, since it uses as much as digits as its factorization.

101018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 101018000 is about 10050.7711146956. The cubic root of 101018000 is about 465.7286145401.

Adding to 101018000 its reverse (810101), we get a palindrome (101828101).

The spelling of 101018000 in words is "one hundred one million, eighteen thousand".