100020112002000 has 240 divisors, whose sum is σ = 350728707551040. Its totient is φ = 26565765600000.

The previous prime is 100020112001981. The next prime is 100020112002007. The reversal of 100020112002000 is 200211020001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020112002007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6551070 + ... + 15587069.

It is an arithmetic number, because the mean of its divisors is an integer number (1461369614796).

Almost surely, 2^{100020112002000} is an apocalyptic number.

100020112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020112002000 is an abundant number, since it is smaller than the sum of its proper divisors (250708595549040).

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

100020112002000 is a wasteful number, since it uses less digits than its factorization.

100020112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22138419 (or 22138400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020112002000 its reverse (200211020001), we get a palindrome (100220323022001).

The spelling of 100020112002000 in words is "one hundred trillion, twenty billion, one hundred twelve million, two thousand".