10000201100010 has 256 divisors, whose sum is σ = 28685816409600. Its totient is φ = 2202439680000.

The previous prime is 10000201100009. The next prime is 10000201100051. The reversal of 10000201100010 is 1000110200001.

10000201100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1111005510 + ... + 1111014510.

It is an arithmetic number, because the mean of its divisors is an integer number (112053970350).

Almost surely, 2^{10000201100010} is an apocalyptic number.

10000201100010 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 10000201100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342908204800).

10000201100010 is an abundant number, since it is smaller than the sum of its proper divisors (18685615309590).

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

10000201100010 is a wasteful number, since it uses less digits than its factorization.

10000201100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000201100010 its reverse (1000110200001), we get a palindrome (11000311300011).

Subtracting from 10000201100010 its reverse (1000110200001), we obtain a palindrome (9000090900009).

The spelling of 10000201100010 in words is "ten trillion, two hundred one million, one hundred thousand, ten".