100001021000112 has 120 divisors (see below), whose sum is σ = 281504179008000. Its totient is φ = 33138779366784.

The previous prime is 100001021000053. The next prime is 100001021000143. The reversal of 100001021000112 is 211000120100001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100001021000094 and 100001021000103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18189763 + ... + 23040605.

It is an arithmetic number, because the mean of its divisors is an integer number (2345868158400).

Almost surely, 2^{100001021000112} is an apocalyptic number.

100001021000112 is a gapful number since it is divisible by the number (12) 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 100001021000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140752089504000).

100001021000112 is an abundant number, since it is smaller than the sum of its proper divisors (181503158007888).

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

100001021000112 is a wasteful number, since it uses less digits than its factorization.

100001021000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851695 (or 4851686 counting only the distinct ones).

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

Adding to 100001021000112 its reverse (211000120100001), we get a palindrome (311001141100113).

The spelling of 100001021000112 in words is "one hundred trillion, one billion, twenty-one million, one hundred twelve", and thus it is an aban number.