101011211200 has 42 divisors (see below), whose sum is σ = 248550715496. Its totient is φ = 40404483840.

The previous prime is 101011211183. The next prime is 101011211209. The reversal of 101011211200 is 2112110101.

101011211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011211209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 31564404 + ... + 31567603.

Almost surely, 2^101011211200 is an apocalyptic number.

101011211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011211200 is an abundant number, since it is smaller than the sum of its proper divisors (147539504296).

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

101011211200 is an equidigital number, since it uses as much as digits as its factorization.

101011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63132029 (or 63132014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011211200 its reverse (2112110101), we get a palindrome (103123321301).

The spelling of 101011211200 in words is "one hundred one billion, eleven million, two hundred eleven thousand, two hundred".