10100100101012 has 24 divisors (see below), whose sum is σ = 18584412578760. Its totient is φ = 4795977432960.

The previous prime is 10100100101009. The next prime is 10100100101027. The reversal of 10100100101012 is 21010100100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13657661956 + 10086442439056 = 116866^2 + 3175916^2 .

It is a super-3 number, since 3×10100100101012³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713680043 + ... + 713694194.

It is an arithmetic number, because the mean of its divisors is an integer number (774350524115).

Almost surely, 2^{10100100101012} is an apocalyptic number.

It is an amenable number.

10100100101012 is a deficient number, since it is larger than the sum of its proper divisors (8484312477748).

10100100101012 is a wasteful number, since it uses less digits than its factorization.

10100100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427374331 (or 1427374329 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100101012 its reverse (21010100100101), we get a palindrome (31110200201113).

The spelling of 10100100101012 in words is "ten trillion, one hundred billion, one hundred million, one hundred one thousand, twelve".