101121102212200 has 96 divisors (see below), whose sum is σ = 280375528210560. Its totient is φ = 33162696864000.

The previous prime is 101121102212171. The next prime is 101121102212201. The reversal of 101121102212200 is 2212201121101.

It is a super-2 number, since 2×101121102212200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121102212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570171251 + ... + 1570235650.

It is an arithmetic number, because the mean of its divisors is an integer number (2920578418860).

Almost surely, 2^{101121102212200} is an apocalyptic number.

101121102212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121102212200 is an abundant number, since it is smaller than the sum of its proper divisors (179254425998360).

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

101121102212200 is a wasteful number, since it uses less digits than its factorization.

101121102212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140406947 (or 3140406938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101121102212200 its reverse (2212201121101), we get a palindrome (103333303333301).

The spelling of 101121102212200 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred two million, two hundred twelve thousand, two hundred".