10100212012002 has 64 divisors (see below), whose sum is σ = 23234779056384. Its totient is φ = 2867204770560.

The previous prime is 10100212011977. The next prime is 10100212012003. The reversal of 10100212012002 is 20021021200101.

10100212012002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10100212012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122218048 + ... + 122300660.

It is an arithmetic number, because the mean of its divisors is an integer number (363043422756).

Almost surely, 2^{10100212012002} is an apocalyptic number.

10100212012002 is an abundant number, since it is smaller than the sum of its proper divisors (13134567044382).

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

10100212012002 is a wasteful number, since it uses less digits than its factorization.

10100212012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101323.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100212012002 its reverse (20021021200101), we get a palindrome (30121233212103).

The spelling of 10100212012002 in words is "ten trillion, one hundred billion, two hundred twelve million, twelve thousand, two".