102121010020 has 24 divisors (see below), whose sum is σ = 214460145144. Its totient is φ = 40847256576.

The previous prime is 102121010011. The next prime is 102121010023. The reversal of 102121010020 is 20010121201.

It can be written as a sum of positive squares in 4 ways, for example, as 32521072896 + 69599937124 = 180336^2 + 263818^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102121009979 and 102121010006.

It is not an unprimeable number, because it can be changed into a prime (102121010023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273762 + ... + 1351558.

It is an arithmetic number, because the mean of its divisors is an integer number (8935839381).

Almost surely, 2^102121010020 is an apocalyptic number.

102121010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121010020 is an abundant number, since it is smaller than the sum of its proper divisors (112339135124).

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

102121010020 is a wasteful number, since it uses less digits than its factorization.

102121010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143439 (or 143437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102121010020 its reverse (20010121201), we get a palindrome (122131131221).

The spelling of 102121010020 in words is "one hundred two billion, one hundred twenty-one million, ten thousand, twenty".