101211221011200 has 432 divisors, whose sum is σ = 337554714761376. Its totient is φ = 26704045670400.

The previous prime is 101211221011079. The next prime is 101211221011213. The reversal of 101211221011200 is 2110122112101.

It is a happy number.

It is a super-2 number, since 2×101211221011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101211221011200.

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, 11422094770 + ... + 11422103630.

Almost surely, 2^{101211221011200} is an apocalyptic number.

101211221011200 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 101211221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168777357380688).

101211221011200 is an abundant number, since it is smaller than the sum of its proper divisors (236343493750176).

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

101211221011200 is an equidigital number, since it uses as much as digits as its factorization.

101211221011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15120 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211221011200 its reverse (2110122112101), we get a palindrome (103321343123301).

The spelling of 101211221011200 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, eleven thousand, two hundred".