201101010100 has 18 divisors (see below), whose sum is σ = 436389192134. Its totient is φ = 80440404000.

The previous prime is 201101010041. The next prime is 201101010109. The reversal of 201101010100 is 1010101102.

It can be written as a sum of positive squares in 3 ways, for example, as 58717043856 + 142383966244 = 242316^2 + 377338^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101010109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005504951 + ... + 1005505150.

Almost surely, 2^201101010100 is an apocalyptic number.

201101010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101010100 is an abundant number, since it is smaller than the sum of its proper divisors (235288182034).

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

201101010100 is a wasteful number, since it uses less digits than its factorization.

201101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011010115 (or 2011010108 counting only the distinct ones).

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

Adding to 201101010100 its reverse (1010101102), we get a palindrome (202111111202).

The spelling of 201101010100 in words is "two hundred one billion, one hundred one million, ten thousand, one hundred".