100101010102212 has 72 divisors (see below), whose sum is σ = 276307873017120. Its totient is φ = 28115537936640.

The previous prime is 100101010102187. The next prime is 100101010102277. The reversal of 100101010102212 is 212201010101001.

It is a super-3 number, since 3×100101010102212³ (a number of 43 digits) contains 333 as substring.

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

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, 1442675589 + ... + 1442744972.

It is an arithmetic number, because the mean of its divisors is an integer number (3837609347460).

Almost surely, 2^{100101010102212} is an apocalyptic number.

100101010102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101010102212 is an abundant number, since it is smaller than the sum of its proper divisors (176206862914908).

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

100101010102212 is a wasteful number, since it uses less digits than its factorization.

100101010102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885420641 (or 2885420632 counting only the distinct ones).

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

Adding to 100101010102212 its reverse (212201010101001), we get a palindrome (312302020203213).

The spelling of 100101010102212 in words is "one hundred trillion, one hundred one billion, ten million, one hundred two thousand, two hundred twelve".