100021133142133 has 32 divisors (see below), whose sum is σ = 118532586643200. Its totient is φ = 82624959545856.

The previous prime is 100021133142089. The next prime is 100021133142211. The reversal of 100021133142133 is 331241331120001.

It is a de Polignac number, because none of the positive numbers 2^k-100021133142133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100021133142098 and 100021133142107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021133140133) 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, 26442435 + ... + 29987407.

It is an arithmetic number, because the mean of its divisors is an integer number (3704143332600).

Almost surely, 2^{100021133142133} is an apocalyptic number.

It is an amenable number.

100021133142133 is a deficient number, since it is larger than the sum of its proper divisors (18511453501067).

100021133142133 is a wasteful number, since it uses less digits than its factorization.

100021133142133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546381.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 100021133142133 its reverse (331241331120001), we get a palindrome (431262464262134).

The spelling of 100021133142133 in words is "one hundred trillion, twenty-one billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-three".