100002112020020 has 144 divisors (see below), whose sum is σ = 248277143520000. Its totient is φ = 33730833894912.

The previous prime is 100002112020001. The next prime is 100002112020037. The reversal of 100002112020020 is 20020211200001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100002112019983 and 100002112020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14476001 + ... + 20237559.

It is an arithmetic number, because the mean of its divisors is an integer number (1724146830000).

Almost surely, 2^{100002112020020} is an apocalyptic number.

100002112020020 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 100002112020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124138571760000).

100002112020020 is an abundant number, since it is smaller than the sum of its proper divisors (148275031499980).

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

100002112020020 is a wasteful number, since it uses less digits than its factorization.

100002112020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761870 (or 5761861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100002112020020 its reverse (20020211200001), we get a palindrome (120022323220021).

The spelling of 100002112020020 in words is "one hundred trillion, two billion, one hundred twelve million, twenty thousand, twenty".