90120100102109 has 32 divisors (see below), whose sum is σ = 114061071645696. Its totient is φ = 69159227829120.

The previous prime is 90120100102103. The next prime is 90120100102177.

90120100102109 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90120100102109 - 2⁸ = 90120100101853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90120100102103) 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, 20135582 + ... + 24200864.

It is an arithmetic number, because the mean of its divisors is an integer number (3564408488928).

Almost surely, 2^{90120100102109} is an apocalyptic number.

It is an amenable number.

90120100102109 is a deficient number, since it is larger than the sum of its proper divisors (23940971543587).

90120100102109 is a wasteful number, since it uses less digits than its factorization.

90120100102109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069665.

The product of its (nonzero) digits is 324, while the sum is 26.

It can be divided in two parts, 90120100 and 102109, that added together give a palindrome (90222209).

The spelling of 90120100102109 in words is "ninety trillion, one hundred twenty billion, one hundred million, one hundred two thousand, one hundred nine".