10100101011200 has 54 divisors (see below), whose sum is σ = 24999328159344. Its totient is φ = 4040040401920.

The previous prime is 10100101011167. The next prime is 10100101011263. The reversal of 10100101011200 is 211010100101.

It is a happy number.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 789063992 + ... + 789076791.

Almost surely, 2^{10100101011200} is an apocalyptic number.

10100101011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101011200 is an abundant number, since it is smaller than the sum of its proper divisors (14899227148144).

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

10100101011200 is an equidigital number, since it uses as much as digits as its factorization.

10100101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578140809 (or 1578140790 counting only the distinct ones).

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

Adding to 10100101011200 its reverse (211010100101), we get a palindrome (10311111111301).

The spelling of 10100101011200 in words is "ten trillion, one hundred billion, one hundred one million, eleven thousand, two hundred".