10001000101012 has 12 divisors (see below), whose sum is σ = 17928622132596. Its totient is φ = 4878536634560.

The previous prime is 10001000101009. The next prime is 10001000101019. The reversal of 10001000101012 is 21010100010001.

It can be written as a sum of positive squares in 2 ways, for example, as 1128787253136 + 8872212847876 = 1062444^2 + 2978626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001000100986 and 10001000101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000101019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30490853803 + ... + 30490854130.

It is an arithmetic number, because the mean of its divisors is an integer number (1494051844383).

Almost surely, 2^{10001000101012} is an apocalyptic number.

It is an amenable number.

10001000101012 is a deficient number, since it is larger than the sum of its proper divisors (7927622031584).

10001000101012 is a wasteful number, since it uses less digits than its factorization.

10001000101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60981707978 (or 60981707976 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001000101012 its reverse (21010100010001), we get a palindrome (31011100111013).

The spelling of 10001000101012 in words is "ten trillion, one billion, one hundred one thousand, twelve".