101011011200 has 192 divisors, whose sum is σ = 278856527040. Its totient is φ = 35834880000.

The previous prime is 101011011097. The next prime is 101011011217. The reversal of 101011011200 is 2110110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408205 + ... + 1478195.

It is an arithmetic number, because the mean of its divisors is an integer number (1452377745).

Almost surely, 2^101011011200 is an apocalyptic number.

101011011200 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 101011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139428263520).

101011011200 is an abundant number, since it is smaller than the sum of its proper divisors (177845515840).

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

101011011200 is a wasteful number, since it uses less digits than its factorization.

101011011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70067 (or 70050 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011011200 its reverse (2110110101), we get a palindrome (103121121301).

The spelling of 101011011200 in words is "one hundred one billion, eleven million, eleven thousand, two hundred".