101022220020012 has 192 divisors, whose sum is σ = 244358677463040. Its totient is φ = 32463865138176.

The previous prime is 101022220019989. The next prime is 101022220020041. The reversal of 101022220020012 is 210020022220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022220019973 and 101022220020000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25976398164 + ... + 25976402052.

It is an arithmetic number, because the mean of its divisors is an integer number (1272701445120).

Almost surely, 2^{101022220020012} is an apocalyptic number.

101022220020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022220020012 is an abundant number, since it is smaller than the sum of its proper divisors (143336457443028).

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

101022220020012 is a wasteful number, since it uses less digits than its factorization.

101022220020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101022220020012 its reverse (210020022220101), we get a palindrome (311042242240113).

The spelling of 101022220020012 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, twenty thousand, twelve".