101221000102112 has 48 divisors (see below), whose sum is σ = 217399807926000. Its totient is φ = 46008549642240.

The previous prime is 101221000102109. The next prime is 101221000102147. The reversal of 101221000102112 is 211201000122101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13296464 + ... + 19474032.

It is an arithmetic number, because the mean of its divisors is an integer number (4529162665125).

Almost surely, 2^{101221000102112} is an apocalyptic number.

It is an amenable number.

101221000102112 is an abundant number, since it is smaller than the sum of its proper divisors (116178807823888).

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

101221000102112 is a wasteful number, since it uses less digits than its factorization.

101221000102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224139 (or 6224131 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101221000102112 its reverse (211201000122101), we get a palindrome (312422000224213).

The spelling of 101221000102112 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred two thousand, one hundred twelve".