101011020211200 has 1056 divisors, whose sum is σ = 383818639034880. Its totient is φ = 23171235840000.

The previous prime is 101011020211147. The next prime is 101011020211243. The reversal of 101011020211200 is 2112020110101.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15585711960 + ... + 15585718440.

Almost surely, 2^{101011020211200} is an apocalyptic number.

101011020211200 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 101011020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191909319517440).

101011020211200 is an abundant number, since it is smaller than the sum of its proper divisors (282807618823680).

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

101011020211200 is a wasteful number, since it uses less digits than its factorization.

101011020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011020211200 its reverse (2112020110101), we get a palindrome (103123040321301).

The spelling of 101011020211200 in words is "one hundred one trillion, eleven billion, twenty million, two hundred eleven thousand, two hundred".