10200101100 has 144 divisors (see below), whose sum is σ = 34062986496. Its totient is φ = 2308320000.

The previous prime is 10200101039. The next prime is 10200101117. The reversal of 10200101100 is 110100201.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188055 + ... + 236145.

Almost surely, 2^10200101100 is an apocalyptic number.

10200101100 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 10200101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031493248).

10200101100 is an abundant number, since it is smaller than the sum of its proper divisors (23862885396).

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

10200101100 is a wasteful number, since it uses less digits than its factorization.

10200101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48216 (or 48209 counting only the distinct ones).

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

Adding to 10200101100 its reverse (110100201), we get a palindrome (10310201301).

It can be divided in two parts, 10200101 and 100, that added together give a palindrome (10200201).

The spelling of 10200101100 in words is "ten billion, two hundred million, one hundred one thousand, one hundred".