101002002010100 has 144 divisors (see below), whose sum is σ = 226881099680256. Its totient is φ = 38987593920000.

The previous prime is 101002002010061. The next prime is 101002002010157. The reversal of 101002002010100 is 1010200200101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5037245075 + ... + 5037265125.

It is an arithmetic number, because the mean of its divisors is an integer number (1575563192224).

Almost surely, 2^{101002002010100} is an apocalyptic number.

101002002010100 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 101002002010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113440549840128).

101002002010100 is an abundant number, since it is smaller than the sum of its proper divisors (125879097670156).

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

101002002010100 is a wasteful number, since it uses less digits than its factorization.

101002002010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24586 (or 24579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101002002010100 its reverse (1010200200101), we get a palindrome (102012202210201).

The spelling of 101002002010100 in words is "one hundred one trillion, two billion, two million, ten thousand, one hundred".