10102121020 has 48 divisors (see below), whose sum is σ = 22506946560. Its totient is φ = 3798010944.

The previous prime is 10102121009. The next prime is 10102121033. The reversal of 10102121020 is 2012120101.

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 = 10102120988 and 10102121006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56404 + ... + 152923.

It is an arithmetic number, because the mean of its divisors is an integer number (468894720).

Almost surely, 2^10102121020 is an apocalyptic number.

10102121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102121020 is an abundant number, since it is smaller than the sum of its proper divisors (12404825540).

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

10102121020 is a wasteful number, since it uses less digits than its factorization.

10102121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209482 (or 209480 counting only the distinct ones).

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

Adding to 10102121020 its reverse (2012120101), we get a palindrome (12114241121).

The spelling of 10102121020 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, twenty".