10012011320100 has 144 divisors (see below), whose sum is σ = 29919193826816. Its totient is φ = 2582305920000.

The previous prime is 10012011320041. The next prime is 10012011320107. The reversal of 10012011320100 is 102311021001.

It is a super-3 number, since 3×10012011320100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10012011320107) 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, 16450422 + ... + 17048178.

Almost surely, 2^{10012011320100} is an apocalyptic number.

10012011320100 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 10012011320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959596913408).

10012011320100 is an abundant number, since it is smaller than the sum of its proper divisors (19907182506716).

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

10012011320100 is a wasteful number, since it uses less digits than its factorization.

10012011320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599606 (or 599599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10012011320100 its reverse (102311021001), we get a palindrome (10114322341101).

The spelling of 10012011320100 in words is "ten trillion, twelve billion, eleven million, three hundred twenty thousand, one hundred".