101022012012 has 12 divisors (see below), whose sum is σ = 235718028056. Its totient is φ = 33674004000.

The previous prime is 101022012001. The next prime is 101022012037. The reversal of 101022012012 is 210210220101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8418501001 = 101022012012 / (1 + 0 + 1 + 0 + 2 + 2 + 0 + 1 + 2 + 0 + 1 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4209250489 + ... + 4209250512.

Almost surely, 2^101022012012 is an apocalyptic number.

101022012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022012012 is an abundant number, since it is smaller than the sum of its proper divisors (134696016044).

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

101022012012 is a wasteful number, since it uses less digits than its factorization.

101022012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418501008 (or 8418501006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022012012 its reverse (210210220101), we get a palindrome (311232232113).

The spelling of 101022012012 in words is "one hundred one billion, twenty-two million, twelve thousand, twelve".