100102122111121 has 16 divisors (see below), whose sum is σ = 110447695459584. Its totient is φ = 90147026795904.

The previous prime is 100102122111113. The next prime is 100102122111169. The reversal of 100102122111121 is 121111221201001.

It is not a de Polignac number, because 100102122111121 - 2³ = 100102122111113 is a prime.

It is a super-2 number, since 2×100102122111121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102122111095 and 100102122111104.

It is not an unprimeable number, because it can be changed into a prime (100102122121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261523231 + ... + 261905716.

It is an arithmetic number, because the mean of its divisors is an integer number (6902980966224).

Almost surely, 2^{100102122111121} is an apocalyptic number.

It is an amenable number.

100102122111121 is a deficient number, since it is larger than the sum of its proper divisors (10345573348463).

100102122111121 is a wasteful number, since it uses less digits than its factorization.

100102122111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523429320.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100102122111121 its reverse (121111221201001), we get a palindrome (221213343312122).

The spelling of 100102122111121 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".