100010201111120 has 40 divisors (see below), whose sum is σ = 233028107512200. Its totient is φ = 39917303682560.

The previous prime is 100010201111089. The next prime is 100010201111201. The reversal of 100010201111120 is 21111102010001.

It can be written as a sum of positive squares in 4 ways, for example, as 4653960548416 + 95356240562704 = 2157304^2 + 9765052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 1355849795 + ... + 1355923554.

It is an arithmetic number, because the mean of its divisors is an integer number (5825702687805).

Almost surely, 2^{100010201111120} is an apocalyptic number.

100010201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010201111120 is an abundant number, since it is smaller than the sum of its proper divisors (133017906401080).

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

100010201111120 is a wasteful number, since it uses less digits than its factorization.

100010201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711773823 (or 2711773817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100010201111120 its reverse (21111102010001), we get a palindrome (121121303121121).

The spelling of 100010201111120 in words is "one hundred trillion, ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty".