100122013233345 has 16 divisors (see below), whose sum is σ = 160598735593920. Its totient is φ = 53263902250944.

The previous prime is 100122013233199. The next prime is 100122013233373. The reversal of 100122013233345 is 543332310221001.

It is not a de Polignac number, because 100122013233345 - 2⁹ = 100122013232833 is a prime.

It is a super-2 number, since 2×100122013233345² (a number of 29 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, 8406544275 + ... + 8406556184.

It is an arithmetic number, because the mean of its divisors is an integer number (10037420974620).

Almost surely, 2^{100122013233345} is an apocalyptic number.

100122013233345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100122013233345 is a deficient number, since it is larger than the sum of its proper divisors (60476722360575).

100122013233345 is a wasteful number, since it uses less digits than its factorization.

100122013233345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813100864.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 100122013233345 its reverse (543332310221001), we get a palindrome (643454323454346).

The spelling of 100122013233345 in words is "one hundred trillion, one hundred twenty-two billion, thirteen million, two hundred thirty-three thousand, three hundred forty-five".