101022001012 has 12 divisors (see below), whose sum is σ = 177476396580. Its totient is φ = 50314459136.

The previous prime is 101022001009. The next prime is 101022001039. The reversal of 101022001012 is 210100220101.

It can be written as a sum of positive squares in 2 ways, for example, as 99304395876 + 1717605136 = 315126^2 + 41444^2 .

It is a super-3 number, since 3×101022001012³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101022001012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49134187 + ... + 49136242.

It is an arithmetic number, because the mean of its divisors is an integer number (14789699715).

Almost surely, 2^101022001012 is an apocalyptic number.

It is an amenable number.

101022001012 is a deficient number, since it is larger than the sum of its proper divisors (76454395568).

101022001012 is a wasteful number, since it uses less digits than its factorization.

101022001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98270690 (or 98270688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022001012 its reverse (210100220101), we get a palindrome (311122221113).

The spelling of 101022001012 in words is "one hundred one billion, twenty-two million, one thousand, twelve".