100000021112112 has 160 divisors (see below), whose sum is σ = 284254503261696. Its totient is φ = 30291605879040.

The previous prime is 100000021112083. The next prime is 100000021112141. The reversal of 100000021112112 is 211211120000001.

It is an interprime number because it is at equal distance from previous prime (100000021112083) and next prime (100000021112141).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169839858 + ... + 170427630.

Almost surely, 2^{100000021112112} is an apocalyptic number.

100000021112112 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 100000021112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142127251630848).

100000021112112 is an abundant number, since it is smaller than the sum of its proper divisors (184254482149584).

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

100000021112112 is a wasteful number, since it uses less digits than its factorization.

100000021112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590480 (or 590452 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100000021112112 its reverse (211211120000001), we get a palindrome (311211141112113).

The spelling of 100000021112112 in words is "one hundred trillion, twenty-one million, one hundred twelve thousand, one hundred twelve".