120100101221100 has 576 divisors, whose sum is σ = 476081178854400. Its totient is φ = 23036180428800.

The previous prime is 120100101221077. The next prime is 120100101221143. The reversal of 120100101221100 is 1122101001021.

It is a super-2 number, since 2×120100101221100² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 10633744 + ... + 18795656.

It is an arithmetic number, because the mean of its divisors is an integer number (826529824400).

Almost surely, 2^{120100101221100} is an apocalyptic number.

120100101221100 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 120100101221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238040589427200).

120100101221100 is an abundant number, since it is smaller than the sum of its proper divisors (355981077633300).

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

120100101221100 is a wasteful number, since it uses less digits than its factorization.

120100101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161975 (or 8161954 counting only the distinct ones).

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

Adding to 120100101221100 its reverse (1122101001021), we get a palindrome (121222202222121).

The spelling of 120100101221100 in words is "one hundred twenty trillion, one hundred billion, one hundred one million, two hundred twenty-one thousand, one hundred".