101222212001200 has 480 divisors, whose sum is σ = 260388254720000. Its totient is φ = 37757095833600.

The previous prime is 101222212001177. The next prime is 101222212001213. The reversal of 101222212001200 is 2100212222101.

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 95 ways as a sum of consecutive naturals, for example, 7154011726 + ... + 7154025874.

Almost surely, 2^{101222212001200} is an apocalyptic number.

101222212001200 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 101222212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130194127360000).

101222212001200 is an abundant number, since it is smaller than the sum of its proper divisors (159166042718800).

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

101222212001200 is a wasteful number, since it uses less digits than its factorization.

101222212001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14453 (or 14442 counting only the distinct ones).

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

Adding to 101222212001200 its reverse (2100212222101), we get a palindrome (103322424223301).

The spelling of 101222212001200 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twelve million, one thousand, two hundred".