1200011220100 has 324 divisors, whose sum is σ = 3525472394388. Its totient is φ = 352024780800.

The previous prime is 1200011220097. The next prime is 1200011220113. The reversal of 1200011220100 is 10221100021.

It can be written as a sum of positive squares in 6 ways, for example, as 10205848576 + 1189805371524 = 101024^2 + 1090782^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10019772 + ... + 10138828.

It is an arithmetic number, because the mean of its divisors is an integer number (10881087637).

Almost surely, 2^{1200011220100} is an apocalyptic number.

1200011220100 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 1200011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762736197194).

1200011220100 is an abundant number, since it is smaller than the sum of its proper divisors (2325461174288).

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

1200011220100 is a wasteful number, since it uses less digits than its factorization.

1200011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119124 (or 119099 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1200011220100 its reverse (10221100021), we get a palindrome (1210232320121).

The spelling of 1200011220100 in words is "one trillion, two hundred billion, eleven million, two hundred twenty thousand, one hundred".