101091103720 has 64 divisors (see below), whose sum is σ = 231904743120. Its totient is φ = 39651784704.

The previous prime is 101091103693. The next prime is 101091103759. The reversal of 101091103720 is 27301190101.

It can be written as a sum of positive squares in 8 ways, for example, as 86964830404 + 14126273316 = 294898^2 + 118854^2 .

It is a super-2 number, since 2×101091103720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405102 + ... + 605218.

Almost surely, 2^101091103720 is an apocalyptic number.

101091103720 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 101091103720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115952371560).

101091103720 is an abundant number, since it is smaller than the sum of its proper divisors (130813639400).

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

101091103720 is a wasteful number, since it uses less digits than its factorization.

101091103720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200374 (or 200370 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 101091103720 its reverse (27301190101), we get a palindrome (128392293821).

The spelling of 101091103720 in words is "one hundred one billion, ninety-one million, one hundred three thousand, seven hundred twenty".