10010010012101 has 16 divisors (see below), whose sum is σ = 11261428920000. Its totient is φ = 8818473321600.

The previous prime is 10010010012061. The next prime is 10010010012109. The reversal of 10010010012101 is 10121001001001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010010012101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010010012109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74413151 + ... + 74547548.

It is an arithmetic number, because the mean of its divisors is an integer number (703839307500).

Almost surely, 2^{10010010012101} is an apocalyptic number.

10010010012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010010012101 is a deficient number, since it is larger than the sum of its proper divisors (1251418907899).

10010010012101 is a wasteful number, since it uses less digits than its factorization.

10010010012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148960900.

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

Adding to 10010010012101 its reverse (10121001001001), we get a palindrome (20131011013102).

The spelling of 10010010012101 in words is "ten trillion, ten billion, ten million, twelve thousand, one hundred one".