100201000021110 has 64 divisors (see below), whose sum is σ = 282920470660800. Its totient is φ = 25148486278656.

The previous prime is 100201000021063. The next prime is 100201000021259. The reversal of 100201000021110 is 11120000102001.

It is a happy number.

100201000021110 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 100201000021092 and 100201000021101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10915137025 + ... + 10915146204.

It is an arithmetic number, because the mean of its divisors is an integer number (4420632354075).

Almost surely, 2^{100201000021110} is an apocalyptic number.

100201000021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201000021110 is an abundant number, since it is smaller than the sum of its proper divisors (182719470639690).

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

100201000021110 is a wasteful number, since it uses less digits than its factorization.

100201000021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21830283262 (or 21830283256 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100201000021110 its reverse (11120000102001), we get a palindrome (111321000123111).

The spelling of 100201000021110 in words is "one hundred trillion, two hundred one billion, twenty-one thousand, one hundred ten".