10020010121 has 24 divisors (see below), whose sum is σ = 11305958664. Its totient is φ = 8870400000.

The previous prime is 10020010057. The next prime is 10020010153. The reversal of 10020010121 is 12101002001.

It can be written as a sum of positive squares in 4 ways, for example, as 325441600 + 9694568521 = 18040^2 + 98461^2 .

It is not a de Polignac number, because 10020010121 - 2⁶ = 10020010057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020010099 and 10020010108.

It is not an unprimeable number, because it can be changed into a prime (10020000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738761 + ... + 752201.

It is an arithmetic number, because the mean of its divisors is an integer number (471081611).

Almost surely, 2^10020010121 is an apocalyptic number.

10020010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020010121 is a deficient number, since it is larger than the sum of its proper divisors (1285948543).

10020010121 is a wasteful number, since it uses less digits than its factorization.

10020010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13625 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10020010121 its reverse (12101002001), we get a palindrome (22121012122).

The spelling of 10020010121 in words is "ten billion, twenty million, ten thousand, one hundred twenty-one".