10102021121057 has 2 divisors, whose sum is σ = 10102021121058. Its totient is φ = 10102021121056.

The previous prime is 10102021121039. The next prime is 10102021121069. The reversal of 10102021121057 is 75012112020101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7602615056656 + 2499406064401 = 2757284^2 + 1580951^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102021121057 - 2²⁰ = 10102020072481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102021121657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051010560528 + 5051010560529.

It is an arithmetic number, because the mean of its divisors is an integer number (5051010560529).

Almost surely, 2^{10102021121057} is an apocalyptic number.

It is an amenable number.

10102021121057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102021121057 is an equidigital number, since it uses as much as digits as its factorization.

10102021121057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 10102021121057 its reverse (75012112020101), we get a palindrome (85114133141158).

The spelling of 10102021121057 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, fifty-seven".