101221021211200 has 168 divisors, whose sum is σ = 271765898797824. Its totient is φ = 36799994112000.

The previous prime is 101221021211197. The next prime is 101221021211203. The reversal of 101221021211200 is 2112120122101.

It is an interprime number because it is at equal distance from previous prime (101221021211197) and next prime (101221021211203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101221021211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84430362 + ... + 85620838.

Almost surely, 2^{101221021211200} is an apocalyptic number.

101221021211200 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 101221021211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135882949398912).

101221021211200 is an abundant number, since it is smaller than the sum of its proper divisors (170544877586624).

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

101221021211200 is a wasteful number, since it uses less digits than its factorization.

101221021211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195341 (or 1195326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101221021211200 its reverse (2112120122101), we get a palindrome (103333141333301).

The spelling of 101221021211200 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-one million, two hundred eleven thousand, two hundred".