100201103010 has 96 divisors (see below), whose sum is σ = 278947534320. Its totient is φ = 24865910784.

The previous prime is 100201102999. The next prime is 100201103117. The reversal of 100201103010 is 10301102001.

It can be written as a sum of positive squares in 8 ways, for example, as 21097853001 + 79103250009 = 145251^2 + 281253^2 .

It is a super-2 number, since 2×100201103010² (a number of 23 digits) contains 22 as substring.

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 = 100201102983 and 100201103001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231757 + ... + 504096.

Almost surely, 2^100201103010 is an apocalyptic number.

100201103010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201103010 is an abundant number, since it is smaller than the sum of its proper divisors (178746431310).

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

100201103010 is a wasteful number, since it uses less digits than its factorization.

100201103010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735972 (or 735969 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100201103010 its reverse (10301102001), we get a palindrome (110502205011).

The spelling of 100201103010 in words is "one hundred billion, two hundred one million, one hundred three thousand, ten".