10101100011200 has 336 divisors, whose sum is σ = 28993880531808. Its totient is φ = 3422822400000.

The previous prime is 10101100011113. The next prime is 10101100011227. The reversal of 10101100011200 is 211000110101.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30052070 + ... + 30386330.

Almost surely, 2^{10101100011200} is an apocalyptic number.

10101100011200 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 10101100011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496940265904).

10101100011200 is an abundant number, since it is smaller than the sum of its proper divisors (18892780520608).

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

10101100011200 is a wasteful number, since it uses less digits than its factorization.

10101100011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334412 (or 334397 counting only the distinct ones).

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

Adding to 10101100011200 its reverse (211000110101), we get a palindrome (10312100121301).

The spelling of 10101100011200 in words is "ten trillion, one hundred one billion, one hundred million, eleven thousand, two hundred".