102201022211200 has 288 divisors, whose sum is σ = 283960346780880. Its totient is φ = 36299722905600.

The previous prime is 102201022211077. The next prime is 102201022211237. The reversal of 102201022211200 is 2112220102201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13580427 + ... + 19718773.

Almost surely, 2^{102201022211200} is an apocalyptic number.

102201022211200 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 102201022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141980173390440).

102201022211200 is an abundant number, since it is smaller than the sum of its proper divisors (181759324569680).

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

102201022211200 is a wasteful number, since it uses less digits than its factorization.

102201022211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138436 (or 6138408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102201022211200 its reverse (2112220102201), we get a palindrome (104313242313401).

The spelling of 102201022211200 in words is "one hundred two trillion, two hundred one billion, twenty-two million, two hundred eleven thousand, two hundred".