101102321201200 has 480 divisors, whose sum is σ = 281541282079680. Its totient is φ = 34552627200000.

The previous prime is 101102321201149. The next prime is 101102321201263. The reversal of 101102321201200 is 2102123201101.

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, 674079816 + ... + 674229784.

It is an arithmetic number, because the mean of its divisors is an integer number (586544337666).

Almost surely, 2^{101102321201200} is an apocalyptic number.

101102321201200 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 101102321201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140770641039840).

101102321201200 is an abundant number, since it is smaller than the sum of its proper divisors (180438960878480).

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

101102321201200 is a wasteful number, since it uses less digits than its factorization.

101102321201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150177 (or 150166 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101102321201200 its reverse (2102123201101), we get a palindrome (103204444402301).

The spelling of 101102321201200 in words is "one hundred one trillion, one hundred two billion, three hundred twenty-one million, two hundred one thousand, two hundred".