100213400105 has 16 divisors (see below), whose sum is σ = 148007483904. Its totient is φ = 63431778240.

The previous prime is 100213400087. The next prime is 100213400167. The reversal of 100213400105 is 501004312001.

It is not a de Polignac number, because 100213400105 - 2⁸ = 100213399849 is a prime.

It is a super-2 number, since 2×100213400105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110124161 + ... + 110125070.

It is an arithmetic number, because the mean of its divisors is an integer number (9250467744).

Almost surely, 2^100213400105 is an apocalyptic number.

It is an amenable number.

100213400105 is a deficient number, since it is larger than the sum of its proper divisors (47794083799).

100213400105 is a wasteful number, since it uses less digits than its factorization.

100213400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220249256.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100213400105 its reverse (501004312001), we get a palindrome (601217712106).

The spelling of 100213400105 in words is "one hundred billion, two hundred thirteen million, four hundred thousand, one hundred five".