10101013000100 has 72 divisors (see below), whose sum is σ = 25318432204128. Its totient is φ = 3457031180800.

The previous prime is 10101013000093. The next prime is 10101013000121. The reversal of 10101013000100 is 100031010101.

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, 270061862 + ... + 270099261.

It is an arithmetic number, because the mean of its divisors is an integer number (351644891724).

Almost surely, 2^{10101013000100} is an apocalyptic number.

10101013000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101013000100 is an abundant number, since it is smaller than the sum of its proper divisors (15217419204028).

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

10101013000100 is a wasteful number, since it uses less digits than its factorization.

10101013000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540161165 (or 540161158 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10101013000100 its reverse (100031010101), we get a palindrome (10201044010201).

The spelling of 10101013000100 in words is "ten trillion, one hundred one billion, thirteen million, one hundred", and thus it is an aban number.