102212001100000 has 288 divisors, whose sum is σ = 274816772413344. Its totient is φ = 37109760000000.

The previous prime is 102212001099919. The next prime is 102212001100007. The reversal of 102212001100000 is 1100212201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 102212001100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212001100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705027520 + ... + 705172480.

It is an arithmetic number, because the mean of its divisors is an integer number (954224904213).

Almost surely, 2^{102212001100000} is an apocalyptic number.

102212001100000 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 102212001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137408386206672).

102212001100000 is an abundant number, since it is smaller than the sum of its proper divisors (172604771313344).

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

102212001100000 is an equidigital number, since it uses as much as digits as its factorization.

102212001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145648 (or 145620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102212001100000 its reverse (1100212201), we get a palindrome (102213101312201).

The spelling of 102212001100000 in words is "one hundred two trillion, two hundred twelve billion, one million, one hundred thousand".