100110001022120 has 32 divisors (see below), whose sum is σ = 225251214874920. Its totient is φ = 40043340395520.

The previous prime is 100110001022081. The next prime is 100110001022179. The reversal of 100110001022120 is 21220100011001.

It can be written as a sum of positive squares in 4 ways, for example, as 98160498129604 + 1949502892516 = 9907598^2 + 1396246^2 .

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, 18164597 + ... + 23025476.

Almost surely, 2^{100110001022120} is an apocalyptic number.

100110001022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110001022120 is an abundant number, since it is smaller than the sum of its proper divisors (125141213852800).

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

100110001022120 is a wasteful number, since it uses less digits than its factorization.

100110001022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41250845 (or 41250841 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110001022120 its reverse (21220100011001), we get a palindrome (121330101033121).

The spelling of 100110001022120 in words is "one hundred trillion, one hundred ten billion, one million, twenty-two thousand, one hundred twenty".