1010012100101 has 8 divisors (see below), whose sum is σ = 1011229661184. Its totient is φ = 1008795088080.

The previous prime is 1010012100067. The next prime is 1010012100161.

It is a happy number.

1010012100101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010012100101 - 2⁶ = 1010012100037 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 (1010012100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3605255 + ... + 3875291.

It is an arithmetic number, because the mean of its divisors is an integer number (126403707648).

Almost surely, 2^{1010012100101} is an apocalyptic number.

It is an amenable number.

1010012100101 is a deficient number, since it is larger than the sum of its proper divisors (1217561083).

1010012100101 is a wasteful number, since it uses less digits than its factorization.

1010012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274531.

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

The spelling of 1010012100101 in words is "one trillion, ten billion, twelve million, one hundred thousand, one hundred one".