10010101101012 has 72 divisors (see below), whose sum is σ = 25331669836200. Its totient is φ = 3332962805760.

The previous prime is 10010101100939. The next prime is 10010101101029. The reversal of 10010101101012 is 21010110101001.

It can be written as a sum of positive squares in 4 ways, for example, as 5612037812676 + 4398063288336 = 2368974^2 + 2097156^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010101100985 and 10010101101003.

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, 122558364 + ... + 122640012.

It is an arithmetic number, because the mean of its divisors is an integer number (351828747725).

Almost surely, 2^{10010101101012} is an apocalyptic number.

10010101101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010101101012 is an abundant number, since it is smaller than the sum of its proper divisors (15321568735188).

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

10010101101012 is a wasteful number, since it uses less digits than its factorization.

10010101101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85433 (or 85428 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010101101012 its reverse (21010110101001), we get a palindrome (31020211202013).

The spelling of 10010101101012 in words is "ten trillion, ten billion, one hundred one million, one hundred one thousand, twelve".