101001211200 has 336 divisors, whose sum is σ = 371997996160. Its totient is φ = 26654883840.

The previous prime is 101001211187. The next prime is 101001211217. The reversal of 101001211200 is 2112100101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178349 + ... + 4202451.

Almost surely, 2^101001211200 is an apocalyptic number.

101001211200 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 101001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185998998080).

101001211200 is an abundant number, since it is smaller than the sum of its proper divisors (270996784960).

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

101001211200 is a wasteful number, since it uses less digits than its factorization.

101001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24210 counting only the distinct ones).

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

Adding to 101001211200 its reverse (2112100101), we get a palindrome (103113311301).

The spelling of 101001211200 in words is "one hundred one billion, one million, two hundred eleven thousand, two hundred".