21010100101012 has 72 divisors (see below), whose sum is σ = 42624902678400. Its totient is φ = 8984797655040.

The previous prime is 21010100100959. The next prime is 21010100101033.

21010100101012 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 21010100101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32653989 + ... + 33291187.

It is an arithmetic number, because the mean of its divisors is an integer number (592012537200).

Almost surely, 2^{21010100101012} is an apocalyptic number.

21010100101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21010100101012 is an abundant number, since it is smaller than the sum of its proper divisors (21614802577388).

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

21010100101012 is a wasteful number, since it uses less digits than its factorization.

21010100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639841 (or 639822 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, 21010100 and 101012, that added together give a palindrome (21111112).

The spelling of 21010100101012 in words is "twenty-one trillion, ten billion, one hundred million, one hundred one thousand, twelve".