101220222110000 has 200 divisors, whose sum is σ = 280090198571040. Its totient is φ = 34702002432000.

The previous prime is 101220222109997. The next prime is 101220222110011. The reversal of 101220222110000 is 11222022101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1588758146 + ... + 1588821854.

Almost surely, 2^{101220222110000} is an apocalyptic number.

101220222110000 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 101220222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140045099285520).

101220222110000 is an abundant number, since it is smaller than the sum of its proper divisors (178869976461040).

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

101220222110000 is an equidigital number, since it uses as much as digits as its factorization.

101220222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86441 (or 86420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220222110000 its reverse (11222022101), we get a palindrome (101231444132101).

The spelling of 101220222110000 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred ten thousand".