102212211200000 has 312 divisors, whose sum is σ = 278709093038880. Its totient is φ = 37168025600000.

The previous prime is 102212211199993. The next prime is 102212211200003. The reversal of 102212211200000 is 2112212201.

It is a super-2 number, since 2×102212211200000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212211200003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 140437031 + ... + 141162969.

Almost surely, 2^{102212211200000} is an apocalyptic number.

102212211200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139354546519440).

102212211200000 is an abundant number, since it is smaller than the sum of its proper divisors (176496881838880).

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

102212211200000 is an frugal number, since it uses more digits than its factorization.

102212211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725999 (or 725957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212211200000 its reverse (2112212201), we get a palindrome (102214323412201).

The spelling of 102212211200000 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, two hundred thousand".