100020101120 has 168 divisors, whose sum is σ = 254825572644. Its totient is φ = 37555273728.

The previous prime is 100020101089. The next prime is 100020101179. The reversal of 100020101120 is 21101020001.

It can be written as a sum of positive squares in 2 ways, for example, as 99431747584 + 588353536 = 315328^2 + 24256^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100020101098 and 100020101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263905091 + ... + 263905469.

Almost surely, 2^100020101120 is an apocalyptic number.

100020101120 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 100020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127412786322).

100020101120 is an abundant number, since it is smaller than the sum of its proper divisors (154805471524).

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

100020101120 is an frugal number, since it uses more digits than its factorization.

100020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

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

Adding to 100020101120 its reverse (21101020001), we get a palindrome (121121121121).

The spelling of 100020101120 in words is "one hundred billion, twenty million, one hundred one thousand, one hundred twenty".