101011100200 has 24 divisors (see below), whose sum is σ = 234850808430. Its totient is φ = 40404440000.

The previous prime is 101011100137. The next prime is 101011100207. The reversal of 101011100200 is 2001110101.

It can be written as a sum of positive squares in 3 ways, for example, as 76493177476 + 24517922724 = 276574^2 + 156582^2 .

It is a super-2 number, since 2×101011100200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101011100207) 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, 252527551 + ... + 252527950.

Almost surely, 2^101011100200 is an apocalyptic number.

101011100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011100200 is an abundant number, since it is smaller than the sum of its proper divisors (133839708230).

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

101011100200 is a wasteful number, since it uses less digits than its factorization.

101011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505055517 (or 505055508 counting only the distinct ones).

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

Adding to 101011100200 its reverse (2001110101), we get a palindrome (103012210301).

Subtracting from 101011100200 its reverse (2001110101), we obtain a palindrome (99009990099).

The spelling of 101011100200 in words is "one hundred one billion, eleven million, one hundred thousand, two hundred".