221012010112000 has 176 divisors, whose sum is σ = 564824842480080. Its totient is φ = 86248587264000.

The previous prime is 221012010111929. The next prime is 221012010112027. The reversal of 221012010112000 is 211010210122.

It can be written as a sum of positive squares in 8 ways, for example, as 55067322781696 + 165944687330304 = 7420736^2 + 12881952^2 .

It is a super-2 number, since 2×221012010112000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15808785 + ... + 26304784.

Almost surely, 2^{221012010112000} is an apocalyptic number.

221012010112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012010112000 is an abundant number, since it is smaller than the sum of its proper divisors (343812832368080).

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

221012010112000 is an equidigital number, since it uses as much as digits as its factorization.

221012010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42113645 (or 42113617 counting only the distinct ones).

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

Adding to 221012010112000 its reverse (211010210122), we get a palindrome (221223020322122).

The spelling of 221012010112000 in words is "two hundred twenty-one trillion, twelve billion, ten million, one hundred twelve thousand".