102211201101200 has 30 divisors (see below), whose sum is σ = 245562410646594. Its totient is φ = 40884480440320.

The previous prime is 102211201101169. The next prime is 102211201101203. The reversal of 102211201101200 is 2101102112201.

It can be written as a sum of positive squares in 3 ways, for example, as 2718396347536 + 99492804753664 = 1648756^2 + 9974608^2 .

It is not an unprimeable number, because it can be changed into a prime (102211201101203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127764000977 + ... + 127764001776.

Almost surely, 2^{102211201101200} is an apocalyptic number.

102211201101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211201101200 is an abundant number, since it is smaller than the sum of its proper divisors (143351209545394).

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

102211201101200 is a wasteful number, since it uses less digits than its factorization.

102211201101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255528002771 (or 255528002760 counting only the distinct ones).

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

Adding to 102211201101200 its reverse (2101102112201), we get a palindrome (104312303213401).

The spelling of 102211201101200 in words is "one hundred two trillion, two hundred eleven billion, two hundred one million, one hundred one thousand, two hundred".