101101121120200 has 48 divisors (see below), whose sum is σ = 238913551003860. Its totient is φ = 39777490272000.

The previous prime is 101101121120191. The next prime is 101101121120213. The reversal of 101101121120200 is 2021121101101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33331246915684 + 67769874204516 = 5773322^2 + 8232246^2 .

It is a super-2 number, since 2×101101121120200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4143476371 + ... + 4143500770.

Almost surely, 2^{101101121120200} is an apocalyptic number.

101101121120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121120200 is an abundant number, since it is smaller than the sum of its proper divisors (137812429883660).

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

101101121120200 is a wasteful number, since it uses less digits than its factorization.

101101121120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286977218 (or 8286977209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101121120200 its reverse (2021121101101), we get a palindrome (103122242221301).

The spelling of 101101121120200 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".