101012001012 has 108 divisors (see below), whose sum is σ = 278508435660. Its totient is φ = 30853495296.

The previous prime is 101012001007. The next prime is 101012001037. The reversal of 101012001012 is 210100210101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2017447056 + 98994553956 = 44916^2 + 314634^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101012000985 and 101012001003.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 772914 + ... + 894102.

Almost surely, 2^101012001012 is an apocalyptic number.

101012001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139254217830).

101012001012 is an abundant number, since it is smaller than the sum of its proper divisors (177496434648).

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

101012001012 is a wasteful number, since it uses less digits than its factorization.

101012001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121362 (or 121344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012001012 its reverse (210100210101), we get a palindrome (311112211113).

The spelling of 101012001012 in words is "one hundred one billion, twelve million, one thousand, twelve".