20101012002 has 96 divisors (see below), whose sum is σ = 46705311744. Its totient is φ = 6472645200.

The previous prime is 20101011991. The next prime is 20101012003. The reversal of 20101012002 is 20021010102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20101012003) 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, 13664127 + ... + 13665597.

It is an arithmetic number, because the mean of its divisors is an integer number (486513664).

Almost surely, 2^20101012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23352655872).

20101012002 is an abundant number, since it is smaller than the sum of its proper divisors (26604299742).

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

20101012002 is a wasteful number, since it uses less digits than its factorization.

20101012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20101012002 its reverse (20021010102), we get a palindrome (40122022104).

The spelling of 20101012002 in words is "twenty billion, one hundred one million, twelve thousand, two".