10001011100130 has 192 divisors, whose sum is σ = 28025587923840. Its totient is φ = 2466832693248.

The previous prime is 10001011100089. The next prime is 10001011100131. The reversal of 10001011100130 is 3100111010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001011100131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12560164 + ... + 13332656.

It is an arithmetic number, because the mean of its divisors is an integer number (145966603770).

Almost surely, 2^{10001011100130} is an apocalyptic number.

10001011100130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001011100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012793961920).

10001011100130 is an abundant number, since it is smaller than the sum of its proper divisors (18024576823710).

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

10001011100130 is a wasteful number, since it uses less digits than its factorization.

10001011100130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772705 (or 772702 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10001011100130 its reverse (3100111010001), we get a palindrome (13101122110131).

The spelling of 10001011100130 in words is "ten trillion, one billion, eleven million, one hundred thousand, one hundred thirty".