10101001101012 has 18 divisors (see below), whose sum is σ = 25533086116538. Its totient is φ = 3367000366992.

The previous prime is 10101001100909. The next prime is 10101001101017. The reversal of 10101001101012 is 21010110010101.

It can be written as a sum of positive squares in only one way, i.e., 7817414689296 + 2283586411716 = 2795964^2 + 1511154^2 .

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 = 10101001100985 and 10101001101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001101017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 140291681923 + ... + 140291681994.

Almost surely, 2^{10101001101012} is an apocalyptic number.

10101001101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101001101012 is an abundant number, since it is smaller than the sum of its proper divisors (15432085015526).

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

10101001101012 is a wasteful number, since it uses less digits than its factorization.

10101001101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280583363927 (or 280583363922 counting only the distinct ones).

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

Adding to 10101001101012 its reverse (21010110010101), we get a palindrome (31111111111113).

It can be divided in two parts, 1010100 and 1101012, that added together give a palindrome (2111112).

The spelling of 10101001101012 in words is "ten trillion, one hundred one billion, one million, one hundred one thousand, twelve".