10100010013002 has 288 divisors, whose sum is σ = 28150209884160. Its totient is φ = 2657493334080.

The previous prime is 10100010013001. The next prime is 10100010013021. The reversal of 10100010013002 is 20031001000101.

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 (10100010013001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247777899 + ... + 247818657.

It is an arithmetic number, because the mean of its divisors is an integer number (97743784320).

Almost surely, 2^{10100010013002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100010013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075104942080).

10100010013002 is an abundant number, since it is smaller than the sum of its proper divisors (18050199871158).

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

10100010013002 is a wasteful number, since it uses less digits than its factorization.

10100010013002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41240 (or 41215 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100010013002 its reverse (20031001000101), we get a palindrome (30131011013103).

The spelling of 10100010013002 in words is "ten trillion, one hundred billion, ten million, thirteen thousand, two".