101221200102012 has 48 divisors (see below), whose sum is σ = 236834504871552. Its totient is φ = 33647375669440.

The previous prime is 101221200101963. The next prime is 101221200102013. The reversal of 101221200102012 is 210201002122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221200101982 and 101221200102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221200102013) 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 15 ways as a sum of consecutive naturals, for example, 5848687 + ... + 15383417.

It is an arithmetic number, because the mean of its divisors is an integer number (4934052184824).

Almost surely, 2^{101221200102012} is an apocalyptic number.

101221200102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221200102012 is an abundant number, since it is smaller than the sum of its proper divisors (135613304769540).

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

101221200102012 is a wasteful number, since it uses less digits than its factorization.

101221200102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537178 (or 9537176 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101221200102012 its reverse (210201002122101), we get a palindrome (311422202224113).

The spelling of 101221200102012 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, twelve".