1010024200101 has 32 divisors (see below), whose sum is σ = 1565303454720. Its totient is φ = 567326237184.

The previous prime is 1010024200099. The next prime is 1010024200223.

It is a happy number.

1010024200101 is nontrivially palindromic in base 10.

1010024200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010024200101 - 2¹ = 1010024200099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010024200901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18648406 + ... + 18702488.

It is an arithmetic number, because the mean of its divisors is an integer number (48915732960).

Almost surely, 2^{1010024200101} is an apocalyptic number.

It is an amenable number.

1010024200101 is a deficient number, since it is larger than the sum of its proper divisors (555279254619).

1010024200101 is a wasteful number, since it uses less digits than its factorization.

1010024200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69225.

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 1010024200101 in words is "one trillion, ten billion, twenty-four million, two hundred thousand, one hundred one".