100213102023101 has 4 divisors (see below), whose sum is σ = 100213588108704. Its totient is φ = 100212615937500.

The previous prime is 100213102022993. The next prime is 100213102023119. The reversal of 100213102023101 is 101320201312001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100213102023101 - 2³⁴ = 100195922153917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100213102023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213102043101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242733425 + ... + 243145926.

It is an arithmetic number, because the mean of its divisors is an integer number (25053397027176).

Almost surely, 2^{100213102023101} is an apocalyptic number.

It is an amenable number.

100213102023101 is a deficient number, since it is larger than the sum of its proper divisors (486085603).

100213102023101 is an equidigital number, since it uses as much as digits as its factorization.

100213102023101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486085602.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100213102023101 its reverse (101320201312001), we get a palindrome (201533303335102).

The spelling of 100213102023101 in words is "one hundred trillion, two hundred thirteen billion, one hundred two million, twenty-three thousand, one hundred one".