100211002202112 has 192 divisors, whose sum is σ = 279840031511040. Its totient is φ = 31829834268672.

The previous prime is 100211002202083. The next prime is 100211002202141. The reversal of 100211002202112 is 211202200112001.

It is an interprime number because it is at equal distance from previous prime (100211002202083) and next prime (100211002202141).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×100211002202112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211002202091 and 100211002202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35816868 + ... + 38513244.

It is an arithmetic number, because the mean of its divisors is an integer number (1457500164120).

Almost surely, 2^{100211002202112} is an apocalyptic number.

100211002202112 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 100211002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139920015755520).

100211002202112 is an abundant number, since it is smaller than the sum of its proper divisors (179629029308928).

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

100211002202112 is a wasteful number, since it uses less digits than its factorization.

100211002202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696688 (or 2696668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211002202112 its reverse (211202200112001), we get a palindrome (311413202314113).

The spelling of 100211002202112 in words is "one hundred trillion, two hundred eleven billion, two million, two hundred two thousand, one hundred twelve".