10100200112002 has 192 divisors, whose sum is σ = 21133523376000. Its totient is φ = 3557490693120.

The previous prime is 10100200111973. The next prime is 10100200112003. The reversal of 10100200112002 is 20021100200101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100200112002.

It is not an unprimeable number, because it can be changed into a prime (10100200112003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422608249 + ... + 422632147.

It is an arithmetic number, because the mean of its divisors is an integer number (110070434250).

Almost surely, 2^{10100200112002} is an apocalyptic number.

10100200112002 is an abundant number, since it is smaller than the sum of its proper divisors (11033323263998).

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

10100200112002 is a wasteful number, since it uses less digits than its factorization.

10100200112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24561 (or 24554 counting only the distinct ones).

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

Adding to 10100200112002 its reverse (20021100200101), we get a palindrome (30121300312103).

The spelling of 10100200112002 in words is "ten trillion, one hundred billion, two hundred million, one hundred twelve thousand, two".