20101002112 has 64 divisors (see below), whose sum is σ = 41059275840. Its totient is φ = 9797632000.

The previous prime is 20101002107. The next prime is 20101002133. The reversal of 20101002112 is 21120010102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539612 + ... + 1552612.

It is an arithmetic number, because the mean of its divisors is an integer number (641551185).

Almost surely, 2^20101002112 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 20101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529637920).

20101002112 is an abundant number, since it is smaller than the sum of its proper divisors (20958273728).

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

20101002112 is a wasteful number, since it uses less digits than its factorization.

20101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319 (or 13307 counting only the distinct ones).

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

Adding to 20101002112 its reverse (21120010102), we get a palindrome (41221012214).

The spelling of 20101002112 in words is "twenty billion, one hundred one million, two thousand, one hundred twelve".