100210122013 has 2 divisors, whose sum is σ = 100210122014. Its totient is φ = 100210122012.

The previous prime is 100210121987. The next prime is 100210122053. The reversal of 100210122013 is 310221012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93472667289 + 6737454724 = 305733^2 + 82082^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210121984 and 100210122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210122053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105061006 + 50105061007.

It is an arithmetic number, because the mean of its divisors is an integer number (50105061007).

Almost surely, 2^100210122013 is an apocalyptic number.

It is an amenable number.

100210122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210122013 is an equidigital number, since it uses as much as digits as its factorization.

100210122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100210122013 its reverse (310221012001), we get a palindrome (410431134014).

The spelling of 100210122013 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand, thirteen".