101120221021200 has 240 divisors, whose sum is σ = 325228471176576. Its totient is φ = 26856661708800.

The previous prime is 101120221021187. The next prime is 101120221021219. The reversal of 101120221021200 is 2120122021101.

101120221021200 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 101120221021200.

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, 1458352932 + ... + 1458422268.

Almost surely, 2^{101120221021200} is an apocalyptic number.

101120221021200 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 101120221021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162614235588288).

101120221021200 is an abundant number, since it is smaller than the sum of its proper divisors (224108250155376).

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

101120221021200 is a wasteful number, since it uses less digits than its factorization.

101120221021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74242 (or 74231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120221021200 its reverse (2120122021101), we get a palindrome (103240343042301).

Subtracting from 101120221021200 its reverse (2120122021101), we obtain a palindrome (99000099000099).

The spelling of 101120221021200 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, twenty-one thousand, two hundred".