10011013332100 has 144 divisors (see below), whose sum is σ = 23885543227392. Its totient is φ = 3611696400000.

The previous prime is 10011013332079. The next prime is 10011013332113. The reversal of 10011013332100 is 123331011001.

10011013332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 990106045 + ... + 990116155.

It is an arithmetic number, because the mean of its divisors is an integer number (165871827968).

Almost surely, 2^{10011013332100} is an apocalyptic number.

10011013332100 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 10011013332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942771613696).

10011013332100 is an abundant number, since it is smaller than the sum of its proper divisors (13874529895292).

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

10011013332100 is a wasteful number, since it uses less digits than its factorization.

10011013332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17138 (or 17131 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10011013332100 its reverse (123331011001), we get a palindrome (10134344343101).

It can be divided in two parts, 1001 and 1013332100, that added together give a palindrome (1013333101).

The spelling of 10011013332100 in words is "ten trillion, eleven billion, thirteen million, three hundred thirty-two thousand, one hundred".