100201010101000 has 64 divisors (see below), whose sum is σ = 234471850704000. Its totient is φ = 40080149841600.

The previous prime is 100201010100973. The next prime is 100201010101009. The reversal of 100201010101000 is 101010102001.

100201010101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100201010101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289946311 + ... + 290291689.

It is an arithmetic number, because the mean of its divisors is an integer number (3663622667250).

Almost surely, 2^{100201010101000} is an apocalyptic number.

100201010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201010101000 is an abundant number, since it is smaller than the sum of its proper divisors (134270840603000).

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

100201010101000 is a wasteful number, since it uses less digits than its factorization.

100201010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635519 (or 635505 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201010101000 its reverse (101010102001), we get a palindrome (100302020203001).

The spelling of 100201010101000 in words is "one hundred trillion, two hundred one billion, ten million, one hundred one thousand".