101221100200012 has 24 divisors (see below), whose sum is σ = 191081311596000. Its totient is φ = 46639438475136.

The previous prime is 101221100199959. The next prime is 101221100200079. The reversal of 101221100200012 is 210002001122101.

It is a super-2 number, since 2×101221100200012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101221100199965 and 101221100200001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1624809937 + ... + 1624872232.

It is an arithmetic number, because the mean of its divisors is an integer number (7961721316500).

Almost surely, 2^{101221100200012} is an apocalyptic number.

It is an amenable number.

101221100200012 is a deficient number, since it is larger than the sum of its proper divisors (89860211395988).

101221100200012 is a wasteful number, since it uses less digits than its factorization.

101221100200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249682785 (or 3249682783 counting only the distinct ones).

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

Adding to 101221100200012 its reverse (210002001122101), we get a palindrome (311223101322113).

The spelling of 101221100200012 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, two hundred thousand, twelve".