10011010101012 has 18 divisors (see below), whose sum is σ = 25305608866538. Its totient is φ = 3337003366992.

The previous prime is 10011010101007. The next prime is 10011010101199. The reversal of 10011010101012 is 21010101011001.

It can be written as a sum of positive squares in only one way, i.e., 7834098710916 + 2176911390096 = 2798946^2 + 1475436^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 10011010100985 and 10011010101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139041806923 + ... + 139041806994.

Almost surely, 2^{10011010101012} is an apocalyptic number.

10011010101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011010101012 is an abundant number, since it is smaller than the sum of its proper divisors (15294598765526).

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

10011010101012 is a wasteful number, since it uses less digits than its factorization.

10011010101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278083613927 (or 278083613922 counting only the distinct ones).

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

Adding to 10011010101012 its reverse (21010101011001), we get a palindrome (31021111112013).

The spelling of 10011010101012 in words is "ten trillion, eleven billion, ten million, one hundred one thousand, twelve".