100022012101120 has 80 divisors (see below), whose sum is σ = 239842684864728. Its totient is φ = 40004753817600.

The previous prime is 100022012101117. The next prime is 100022012101139. The reversal of 100022012101120 is 21101210220001.

It can be written as a sum of positive squares in 4 ways, for example, as 83949866957056 + 16072145144064 = 9162416^2 + 4009008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 100022012101120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23373472 + ... + 27319648.

Almost surely, 2^{100022012101120} is an apocalyptic number.

100022012101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022012101120 is an abundant number, since it is smaller than the sum of its proper divisors (139820672763608).

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

100022012101120 is an frugal number, since it uses more digits than its factorization.

100022012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956101 (or 3956085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100022012101120 its reverse (21101210220001), we get a palindrome (121123222321121).

The spelling of 100022012101120 in words is "one hundred trillion, twenty-two billion, twelve million, one hundred one thousand, one hundred twenty".