10100311030000 has 100 divisors (see below), whose sum is σ = 24456835588680. Its totient is φ = 4039633312000.

The previous prime is 10100311029979. The next prime is 10100311030003. The reversal of 10100311030000 is 3011300101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100311030003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88613046 + ... + 88726954.

Almost surely, 2^{10100311030000} is an apocalyptic number.

10100311030000 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 10100311030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228417794340).

10100311030000 is an abundant number, since it is smaller than the sum of its proper divisors (14356524558680).

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

10100311030000 is an equidigital number, since it uses as much as digits as its factorization.

10100311030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122804 (or 122783 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10100311030000 its reverse (3011300101), we get a palindrome (10103322330101).

The spelling of 10100311030000 in words is "ten trillion, one hundred billion, three hundred eleven million, thirty thousand".