102122101110020 has 12 divisors (see below), whose sum is σ = 214456412331084. Its totient is φ = 40848840444000.

The previous prime is 102122101110019. The next prime is 102122101110041. The reversal of 102122101110020 is 20011101221201.

It can be written as a sum of positive squares in 2 ways, for example, as 74555211935296 + 27566889174724 = 8634536^2 + 5250418^2 .

It is a super-2 number, since 2×102122101110020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102122101109977 and 102122101110004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2553052527731 + ... + 2553052527770.

It is an arithmetic number, because the mean of its divisors is an integer number (17871367694257).

Almost surely, 2^{102122101110020} is an apocalyptic number.

102122101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122101110020 is an abundant number, since it is smaller than the sum of its proper divisors (112334311221064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122101110020 is a wasteful number, since it uses less digits than its factorization.

102122101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106105055510 (or 5106105055508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102122101110020 its reverse (20011101221201), we get a palindrome (122133202331221).

The spelling of 102122101110020 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred one million, one hundred ten thousand, twenty".