210100101001012 has 48 divisors (see below), whose sum is σ = 387468381347712. Its totient is φ = 99485544540800.

The previous prime is 210100101001009. The next prime is 210100101001013.

210100101001012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 210100101001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100101001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457931358 + ... + 458389930.

It is an arithmetic number, because the mean of its divisors is an integer number (8072257944744).

Almost surely, 2^{210100101001012} is an apocalyptic number.

It is an amenable number.

210100101001012 is a deficient number, since it is larger than the sum of its proper divisors (177368280346700).

210100101001012 is a wasteful number, since it uses less digits than its factorization.

210100101001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508008 (or 508006 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 21010010 and 1001012, that added together give a palindrome (22011022).

The spelling of 210100101001012 in words is "two hundred ten trillion, one hundred billion, one hundred one million, one thousand, twelve".