100120100100020 has 288 divisors, whose sum is σ = 287563209816960. Its totient is φ = 28783174210560.

The previous prime is 100120100100011. The next prime is 100120100100029. The reversal of 100120100100020 is 20001001021001.

It is an interprime number because it is at equal distance from previous prime (100120100100011) and next prime (100120100100029).

It is a junction number, because it is equal to n+sod(n) for n = 100120100099980 and 100120100100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120100100029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178679051 + ... + 179238509.

It is an arithmetic number, because the mean of its divisors is an integer number (998483367420).

Almost surely, 2^{100120100100020} is an apocalyptic number.

100120100100020 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 100120100100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143781604908480).

100120100100020 is an abundant number, since it is smaller than the sum of its proper divisors (187443109716940).

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

100120100100020 is a wasteful number, since it uses less digits than its factorization.

100120100100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560783 (or 560774 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100120100100020 its reverse (20001001021001), we get a palindrome (120121101121021).

The spelling of 100120100100020 in words is "one hundred trillion, one hundred twenty billion, one hundred million, one hundred thousand, twenty".