101102221211200 has 1344 divisors, whose sum is σ = 288176595803136. Its totient is φ = 34881454080000.

The previous prime is 101102221211197. The next prime is 101102221211249. The reversal of 101102221211200 is 2112122201101.

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 191 ways as a sum of consecutive naturals, for example, 737972417532 + ... + 737972417668.

Almost surely, 2^{101102221211200} is an apocalyptic number.

101102221211200 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 101102221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144088297901568).

101102221211200 is an abundant number, since it is smaller than the sum of its proper divisors (187074374591936).

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

101102221211200 is a wasteful number, since it uses less digits than its factorization.

101102221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101102221211200 its reverse (2112122201101), we get a palindrome (103214343412301).

It can be divided in two parts, 1011022 and 21211200, that added together give a palindrome (22222222).

The spelling of 101102221211200 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".