101021002112 has 128 divisors (see below), whose sum is σ = 215697686400. Its totient is φ = 46987776000.

The previous prime is 101021002111. The next prime is 101021002123. The reversal of 101021002112 is 211200120101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 101021002093 and 101021002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44560403 + ... + 44562669.

It is an arithmetic number, because the mean of its divisors is an integer number (1685138175).

Almost surely, 2^101021002112 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 101021002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107848843200).

101021002112 is an abundant number, since it is smaller than the sum of its proper divisors (114676684288).

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

101021002112 is a wasteful number, since it uses less digits than its factorization.

101021002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101021002112 its reverse (211200120101), we get a palindrome (312221122213).

The spelling of 101021002112 in words is "one hundred one billion, twenty-one million, two thousand, one hundred twelve".