101266100 has 72 divisors (see below), whose sum is σ = 240718968. Its totient is φ = 36748800.

The previous prime is 101266063. The next prime is 101266133. The reversal of 101266100 is 1662101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 67207204 + 34058896 = 8198^2 + 5836^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78662 + ... + 79938.

It is an arithmetic number, because the mean of its divisors is an integer number (3343319).

Almost surely, 2^101266100 is an apocalyptic number.

101266100 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 101266100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120359484).

101266100 is an abundant number, since it is smaller than the sum of its proper divisors (139452868).

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

101266100 is a wasteful number, since it uses less digits than its factorization.

101266100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 101266100 is about 10063.1058823804. The cubic root of 101266100 is about 466.1095790002.

The spelling of 101266100 in words is "one hundred one million, two hundred sixty-six thousand, one hundred".