10012011100 has 144 divisors (see below), whose sum is σ = 27603122176. Its totient is φ = 3066336000.

The previous prime is 10012011089. The next prime is 10012011109. The reversal of 10012011100 is 111021001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012011109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264355 + ... + 299845.

Almost surely, 2^10012011100 is an apocalyptic number.

10012011100 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 10012011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801561088).

10012011100 is an abundant number, since it is smaller than the sum of its proper divisors (17591111076).

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

10012011100 is a wasteful number, since it uses less digits than its factorization.

10012011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556 (or 35549 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10012011100 its reverse (111021001), we get a palindrome (10123032101).

Subtracting from 10012011100 its reverse (111021001), we obtain a palindrome (9900990099).

The spelling of 10012011100 in words is "ten billion, twelve million, eleven thousand, one hundred".