100201011010 has 32 divisors (see below), whose sum is σ = 184609130112. Its totient is φ = 39137091840.

The previous prime is 100201010957. The next prime is 100201011019. The reversal of 100201011010 is 10110102001.

It is a super-3 number, since 3×100201011010³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100201010984 and 100201011002.

It is not an unprimeable number, because it can be changed into a prime (100201011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558195 + ... + 1621225.

It is an arithmetic number, because the mean of its divisors is an integer number (5769035316).

Almost surely, 2^100201011010 is an apocalyptic number.

100201011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201011010 is a deficient number, since it is larger than the sum of its proper divisors (84408119102).

100201011010 is a wasteful number, since it uses less digits than its factorization.

100201011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66778.

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

Adding to 100201011010 its reverse (10110102001), we get a palindrome (110311113011).

Subtracting from 100201011010 its reverse (10110102001), we obtain a palindrome (90090909009).

The spelling of 100201011010 in words is "one hundred billion, two hundred one million, eleven thousand, ten".