101112002020212 has 24 divisors (see below), whose sum is σ = 235931168995200. Its totient is φ = 33703548633216.

The previous prime is 101112002020187. The next prime is 101112002020231. The reversal of 101112002020212 is 212020200211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112002020191 and 101112002020200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55572412 + ... + 57363027.

It is an arithmetic number, because the mean of its divisors is an integer number (9830465374800).

Almost surely, 2^{101112002020212} is an apocalyptic number.

101112002020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112002020212 is an abundant number, since it is smaller than the sum of its proper divisors (134819166974988).

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

101112002020212 is a wasteful number, since it uses less digits than its factorization.

101112002020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113010055 (or 113010053 counting only the distinct ones).

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

Adding to 101112002020212 its reverse (212020200211101), we get a palindrome (313132202231313).

The spelling of 101112002020212 in words is "one hundred one trillion, one hundred twelve billion, two million, twenty thousand, two hundred twelve".