10101106002 has 96 divisors (see below), whose sum is σ = 24382451520. Its totient is φ = 2771159040.

The previous prime is 10101105977. The next prime is 10101106009. The reversal of 10101106002 is 20060110101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10101106009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312102 + ... + 342942.

It is an arithmetic number, because the mean of its divisors is an integer number (253983870).

Almost surely, 2^10101106002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101106002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191225760).

10101106002 is an abundant number, since it is smaller than the sum of its proper divisors (14281345518).

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

10101106002 is a wasteful number, since it uses less digits than its factorization.

10101106002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30908 (or 30895 counting only the distinct ones).

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

Adding to 10101106002 its reverse (20060110101), we get a palindrome (30161216103).

The spelling of 10101106002 in words is "ten billion, one hundred one million, one hundred six thousand, two".