101121100200 has 72 divisors (see below), whose sum is σ = 339598367550. Its totient is φ = 26965626240.

The previous prime is 101121100189. The next prime is 101121100229. The reversal of 101121100200 is 2001121101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 98873771364 + 2247328836 = 314442^2 + 47406^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 28087395 + ... + 28090994.

Almost surely, 2^101121100200 is an apocalyptic number.

101121100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121100200 is an abundant number, since it is smaller than the sum of its proper divisors (238477267350).

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

101121100200 is a wasteful number, since it uses less digits than its factorization.

101121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56178411 (or 56178399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101121100200 its reverse (2001121101), we get a palindrome (103122221301).

The spelling of 101121100200 in words is "one hundred one billion, one hundred twenty-one million, one hundred thousand, two hundred".