20101100102112 has 96 divisors (see below), whose sum is σ = 53929301755392. Its totient is φ = 6552786335744.

The previous prime is 20101100102101. The next prime is 20101100102119. The reversal of 20101100102112 is 21120100110102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101100102119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4192888 + ... + 7601480.

It is an arithmetic number, because the mean of its divisors is an integer number (561763559952).

Almost surely, 2^{20101100102112} 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 20101100102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26964650877696).

20101100102112 is an abundant number, since it is smaller than the sum of its proper divisors (33828201653280).

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

20101100102112 is a wasteful number, since it uses less digits than its factorization.

20101100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409960 (or 3409952 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101100102112 its reverse (21120100110102), we get a palindrome (41221200212214).

The spelling of 20101100102112 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred two thousand, one hundred twelve".