101101200212200 has 96 divisors (see below), whose sum is σ = 241417733823000. Its totient is φ = 39346766807040.

The previous prime is 101101200212183. The next prime is 101101200212239. The reversal of 101101200212200 is 2212002101101.

It can be written as a sum of positive squares in 12 ways, for example, as 12040192130404 + 89061008081796 = 3469898^2 + 9437214^2 .

It is a super-4 number, since 4×101101200212200⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580790776 + ... + 580964824.

Almost surely, 2^{101101200212200} is an apocalyptic number.

101101200212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101200212200 is an abundant number, since it is smaller than the sum of its proper divisors (140316533610800).

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

101101200212200 is a wasteful number, since it uses less digits than its factorization.

101101200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252599 (or 252590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101101200212200 its reverse (2212002101101), we get a palindrome (103313202313301).

The spelling of 101101200212200 in words is "one hundred one trillion, one hundred one billion, two hundred million, two hundred twelve thousand, two hundred".