102212221100000 has 432 divisors, whose sum is σ = 277621181638416. Its totient is φ = 37012800000000.

The previous prime is 102212221099997. The next prime is 102212221100027. The reversal of 102212221100000 is 1122212201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2916082475 + ... + 2916117525.

It is an arithmetic number, because the mean of its divisors is an integer number (642641624163).

Almost surely, 2^{102212221100000} is an apocalyptic number.

102212221100000 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 102212221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138810590819208).

102212221100000 is an abundant number, since it is smaller than the sum of its proper divisors (175408960538416).

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

102212221100000 is an equidigital number, since it uses as much as digits as its factorization.

102212221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35349 (or 35310 counting only the distinct ones).

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

Adding to 102212221100000 its reverse (1122212201), we get a palindrome (102213343312201).

It can be divided in two parts, 1022122 and 21100000, that added together give a palindrome (22122122).

The spelling of 102212221100000 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred thousand".