101001000211200 has 432 divisors, whose sum is σ = 373024932515200. Its totient is φ = 26739826790400.

The previous prime is 101001000211183. The next prime is 101001000211249. The reversal of 101001000211200 is 2112000100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21916695 + ... + 26121705.

Almost surely, 2^{101001000211200} is an apocalyptic number.

101001000211200 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 101001000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186512466257600).

101001000211200 is an abundant number, since it is smaller than the sum of its proper divisors (272023932304000).

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

101001000211200 is a wasteful number, since it uses less digits than its factorization.

101001000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205185 (or 4205160 counting only the distinct ones).

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

Adding to 101001000211200 its reverse (2112000100101), we get a palindrome (103113000311301).

The spelling of 101001000211200 in words is "one hundred one trillion, one billion, two hundred eleven thousand, two hundred".