101101021200 has 180 divisors, whose sum is σ = 351378367860. Its totient is φ = 26919567360.

The previous prime is 101101021187. The next prime is 101101021207. The reversal of 101101021200 is 2120101101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23948181504 + 77152839696 = 154752^2 + 277764^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101101021207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2401936 + ... + 2443664.

Almost surely, 2^101101021200 is an apocalyptic number.

101101021200 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 101101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175689183930).

101101021200 is an abundant number, since it is smaller than the sum of its proper divisors (250277346660).

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

101101021200 is a wasteful number, since it uses less digits than its factorization.

101101021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42426 (or 42412 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101021200 its reverse (2120101101), we get a palindrome (103221122301).

The spelling of 101101021200 in words is "one hundred one billion, one hundred one million, twenty-one thousand, two hundred".