102121020110020 has 12 divisors (see below), whose sum is σ = 214454142231084. Its totient is φ = 40848408044000.

The previous prime is 102121020109937. The next prime is 102121020110047. The reversal of 102121020110020 is 20011020121201.

It can be written as a sum of positive squares in 2 ways, for example, as 76910900452996 + 25210119657024 = 8769886^2 + 5020968^2 .

It is a super-2 number, since 2×102121020110020² (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 3 ways as a sum of consecutive naturals, for example, 2553025502731 + ... + 2553025502770.

It is an arithmetic number, because the mean of its divisors is an integer number (17871178519257).

Almost surely, 2^{102121020110020} is an apocalyptic number.

102121020110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121020110020 is an abundant number, since it is smaller than the sum of its proper divisors (112333122121064).

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

102121020110020 is a wasteful number, since it uses less digits than its factorization.

102121020110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106051005510 (or 5106051005508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102121020110020 its reverse (20011020121201), we get a palindrome (122132040231221).

The spelling of 102121020110020 in words is "one hundred two trillion, one hundred twenty-one billion, twenty million, one hundred ten thousand, twenty".