1102122111200 has 432 divisors, whose sum is σ = 3016246947840. Its totient is φ = 392873395200.

The previous prime is 1102122111149. The next prime is 1102122111241. The reversal of 1102122111200 is 21112212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1277081969 + ... + 1277082831.

It is an arithmetic number, because the mean of its divisors is an integer number (6982053120).

Almost surely, 2^{1102122111200} is an apocalyptic number.

1102122111200 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 1102122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508123473920).

1102122111200 is an abundant number, since it is smaller than the sum of its proper divisors (1914124836640).

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

1102122111200 is a wasteful number, since it uses less digits than its factorization.

1102122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102122111200 its reverse (21112212011), we get a palindrome (1123234323211).

The spelling of 1102122111200 in words is "one trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".