100212202010112 has 80 divisors (see below), whose sum is σ = 267566162727600. Its totient is φ = 33329670520832.

The previous prime is 100212202010111. The next prime is 100212202010159. The reversal of 100212202010112 is 211010202212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212202010091 and 100212202010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212202010111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71963253 + ... + 73342580.

It is an arithmetic number, because the mean of its divisors is an integer number (3344577034095).

Almost surely, 2^{100212202010112} is an apocalyptic number.

100212202010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212202010112 is an abundant number, since it is smaller than the sum of its proper divisors (167353960717488).

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

100212202010112 is an equidigital number, since it uses as much as digits as its factorization.

100212202010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145306303 (or 145306287 counting only the distinct ones).

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

Adding to 100212202010112 its reverse (211010202212001), we get a palindrome (311222404222113).

The spelling of 100212202010112 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, ten thousand, one hundred twelve".