120100012221020 has 96 divisors (see below), whose sum is σ = 273785998812480. Its totient is φ = 43989736826880.

The previous prime is 120100012221019. The next prime is 120100012221031. The reversal of 120100012221020 is 20122210001021.

It is a junction number, because it is equal to n+sod(n) for n = 120100012220986 and 120100012221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91068896 + ... + 92378264.

It is an arithmetic number, because the mean of its divisors is an integer number (2851937487630).

Almost surely, 2^{120100012221020} is an apocalyptic number.

120100012221020 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 120100012221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136892999406240).

120100012221020 is an abundant number, since it is smaller than the sum of its proper divisors (153685986591460).

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

120100012221020 is a wasteful number, since it uses less digits than its factorization.

120100012221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312215 (or 1312213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120100012221020 its reverse (20122210001021), we get a palindrome (140222222222041).

The spelling of 120100012221020 in words is "one hundred twenty trillion, one hundred billion, twelve million, two hundred twenty-one thousand, twenty".