10100200010100 has 288 divisors, whose sum is σ = 29756060906880. Its totient is φ = 2644798832640.

The previous prime is 10100200010099. The next prime is 10100200010111. The reversal of 10100200010100 is 101000200101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2045814832 + ... + 2045819768.

Almost surely, 2^{10100200010100} is an apocalyptic number.

10100200010100 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 10100200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878030453440).

10100200010100 is an abundant number, since it is smaller than the sum of its proper divisors (19655860896780).

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

10100200010100 is a wasteful number, since it uses less digits than its factorization.

10100200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100200010100 its reverse (101000200101), we get a palindrome (10201200210201).

The spelling of 10100200010100 in words is "ten trillion, one hundred billion, two hundred million, ten thousand, one hundred".