101222211101100 has 288 divisors, whose sum is σ = 301822754107392. Its totient is φ = 26175813120000.

The previous prime is 101222211101051. The next prime is 101222211101117. The reversal of 101222211101100 is 1101112222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101222211101100.

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, 1436617072 + ... + 1436687528.

It is an arithmetic number, because the mean of its divisors is an integer number (1047995673984).

Almost surely, 2^{101222211101100} is an apocalyptic number.

101222211101100 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 101222211101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150911377053696).

101222211101100 is an abundant number, since it is smaller than the sum of its proper divisors (200600543006292).

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

101222211101100 is a wasteful number, since it uses less digits than its factorization.

101222211101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71217 (or 71210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101222211101100 its reverse (1101112222101), we get a palindrome (102323323323201).

The spelling of 101222211101100 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred eleven million, one hundred one thousand, one hundred".