100020112011000 has 256 divisors, whose sum is σ = 348224549212800. Its totient is φ = 26557555968000.

The previous prime is 100020112010957. The next prime is 100020112011011. The reversal of 100020112011000 is 110211020001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1658461 + ... + 14240460.

Almost surely, 2^{100020112011000} is an apocalyptic number.

100020112011000 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 100020112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174112274606400).

100020112011000 is an abundant number, since it is smaller than the sum of its proper divisors (248204437201800).

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

100020112011000 is a wasteful number, since it uses less digits than its factorization.

100020112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15899184 (or 15899164 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020112011000 its reverse (110211020001), we get a palindrome (100130323031001).

Subtracting from 100020112011000 its reverse (110211020001), we obtain a palindrome (99909900990999).

The spelling of 100020112011000 in words is "one hundred trillion, twenty billion, one hundred twelve million, eleven thousand".