100201001110 has 48 divisors (see below), whose sum is σ = 212940168624. Its totient is φ = 33841862208.

The previous prime is 100201001063. The next prime is 100201001111. The reversal of 100201001110 is 11100102001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100201001093 and 100201001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1493229 + ... + 1558888.

It is an arithmetic number, because the mean of its divisors is an integer number (4436253513).

Almost surely, 2^100201001110 is an apocalyptic number.

100201001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201001110 is an abundant number, since it is smaller than the sum of its proper divisors (112739167514).

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

100201001110 is a wasteful number, since it uses less digits than its factorization.

100201001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052205 (or 3052198 counting only the distinct ones).

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

Adding to 100201001110 its reverse (11100102001), we get a palindrome (111301103111).

The spelling of 100201001110 in words is "one hundred billion, two hundred one million, one thousand, one hundred ten".