20121020106 has 64 divisors (see below), whose sum is σ = 46565953920. Its totient is φ = 5728348160.

The previous prime is 20121020069. The next prime is 20121020147. The reversal of 20121020106 is 60102012102.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 622660 + ... + 654176.

It is an arithmetic number, because the mean of its divisors is an integer number (727593030).

Almost surely, 2^20121020106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121020106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282976960).

20121020106 is an abundant number, since it is smaller than the sum of its proper divisors (26444933814).

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

20121020106 is a wasteful number, since it uses less digits than its factorization.

20121020106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32119.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20121020106 its reverse (60102012102), we get a palindrome (80223032208).

The spelling of 20121020106 in words is "twenty billion, one hundred twenty-one million, twenty thousand, one hundred six".