1020012100201 has 8 divisors (see below), whose sum is σ = 1074013833600. Its totient is φ = 966042055440.

The previous prime is 1020012100193. The next prime is 1020012100207.

1020012100201 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 1020012100201 - 2³ = 1020012100193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020012100207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7856065 + ... + 7984846.

It is an arithmetic number, because the mean of its divisors is an integer number (134251729200).

Almost surely, 2^{1020012100201} is an apocalyptic number.

It is an amenable number.

1020012100201 is a deficient number, since it is larger than the sum of its proper divisors (54001733399).

1020012100201 is a wasteful number, since it uses less digits than its factorization.

1020012100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844319.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 1020012100201 in words is "one trillion, twenty billion, twelve million, one hundred thousand, two hundred one".