101102122201200 has 480 divisors, whose sum is σ = 330996039897600. Its totient is φ = 26374884556800.

The previous prime is 101102122201189. The next prime is 101102122201211. The reversal of 101102122201200 is 2102221201101.

It is an interprime number because it is at equal distance from previous prime (101102122201189) and next prime (101102122201211).

It is a super-2 number, since 2×101102122201200² (a number of 29 digits) contains 22 as substring.

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 101102122201200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3918825901 + ... + 3918851699.

It is an arithmetic number, because the mean of its divisors is an integer number (689575083120).

Almost surely, 2^{101102122201200} is an apocalyptic number.

101102122201200 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 101102122201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165498019948800).

101102122201200 is an abundant number, since it is smaller than the sum of its proper divisors (229893917696400).

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

101102122201200 is a wasteful number, since it uses less digits than its factorization.

101102122201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26305 (or 26294 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101102122201200 its reverse (2102221201101), we get a palindrome (103204343402301).

The spelling of 101102122201200 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, two hundred one thousand, two hundred".