20110101012 has 60 divisors (see below), whose sum is σ = 52740003316. Its totient is φ = 6681916800.

The previous prime is 20110100993. The next prime is 20110101061. The reversal of 20110101012 is 21010101102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 159668496 + 19950432516 = 12636^2 + 141246^2 .

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 = 20110100985 and 20110101003.

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 19 ways as a sum of consecutive naturals, for example, 2262 + ... + 200562.

Almost surely, 2^20110101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26370001658).

20110101012 is an abundant number, since it is smaller than the sum of its proper divisors (32629902304).

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

20110101012 is a wasteful number, since it uses less digits than its factorization.

20110101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198630 (or 198619 counting only the distinct ones).

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

Adding to 20110101012 its reverse (21010101102), we get a palindrome (41120202114).

The spelling of 20110101012 in words is "twenty billion, one hundred ten million, one hundred one thousand, twelve".