120221101022100 has 288 divisors, whose sum is σ = 376270239413376. Its totient is φ = 29460804403200.

The previous prime is 120221101022023. The next prime is 120221101022129. The reversal of 120221101022100 is 1220101122021.

It is a super-2 number, since 2×120221101022100² (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 120221101022100.

It is a congruent number.

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, 1791076540 + ... + 1791143660.

It is an arithmetic number, because the mean of its divisors is an integer number (1306493886852).

Almost surely, 2^{120221101022100} is an apocalyptic number.

120221101022100 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 120221101022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188135119706688).

120221101022100 is an abundant number, since it is smaller than the sum of its proper divisors (256049138391276).

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

120221101022100 is a wasteful number, since it uses less digits than its factorization.

120221101022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69195 (or 69188 counting only the distinct ones).

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

Adding to 120221101022100 its reverse (1220101122021), we get a palindrome (121441202144121).

The spelling of 120221101022100 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, one hundred".