102121002000020 has 48 divisors (see below), whose sum is σ = 214586335788048. Its totient is φ = 40823219635200.

The previous prime is 102121002000013. The next prime is 102121002000029. The reversal of 102121002000020 is 20000200121201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36922418209924 + 65198583790096 = 6076382^2 + 8074564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102121001999965 and 102121002000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121002000029) 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, 288368102 + ... + 288722018.

It is an arithmetic number, because the mean of its divisors is an integer number (4470548662251).

Almost surely, 2^{102121002000020} is an apocalyptic number.

102121002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121002000020 is an abundant number, since it is smaller than the sum of its proper divisors (112465333788028).

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

102121002000020 is a wasteful number, since it uses less digits than its factorization.

102121002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362780 (or 362778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102121002000020 its reverse (20000200121201), we get a palindrome (122121202121221).

The spelling of 102121002000020 in words is "one hundred two trillion, one hundred twenty-one billion, two million, twenty", and thus it is an aban number.