101013440330100 has 72 divisors (see below), whose sum is σ = 292613904636480. Its totient is φ = 26904811374080.

The previous prime is 101013440329951. The next prime is 101013440330137. The reversal of 101013440330100 is 1033044310101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200410677 + ... + 200914076.

It is an arithmetic number, because the mean of its divisors is an integer number (4064082008840).

Almost surely, 2^{101013440330100} is an apocalyptic number.

101013440330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013440330100 is an abundant number, since it is smaller than the sum of its proper divisors (191600464306380).

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

101013440330100 is a wasteful number, since it uses less digits than its factorization.

101013440330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401325609 (or 401325602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101013440330100 its reverse (1033044310101), we get a palindrome (102046484640201).

The spelling of 101013440330100 in words is "one hundred one trillion, thirteen billion, four hundred forty million, three hundred thirty thousand, one hundred".