100201020112010 has 16 divisors (see below), whose sum is σ = 182644897420800. Its totient is φ = 39573061107216.

The previous prime is 100201020112007. The next prime is 100201020112013. The reversal of 100201020112010 is 10211020102001.

100201020112010 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100201020112007) and next prime (100201020112013).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201020111982 and 100201020112000.

It is not an unprimeable number, because it can be changed into a prime (100201020112013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63418366370 + ... + 63418367949.

It is an arithmetic number, because the mean of its divisors is an integer number (11415306088800).

Almost surely, 2^{100201020112010} is an apocalyptic number.

100201020112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201020112010 is a deficient number, since it is larger than the sum of its proper divisors (82443877308790).

100201020112010 is a wasteful number, since it uses less digits than its factorization.

100201020112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126836734405.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201020112010 its reverse (10211020102001), we get a palindrome (110412040214011).

The spelling of 100201020112010 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred twelve thousand, ten".