10002110122157 has 2 divisors, whose sum is σ = 10002110122158. Its totient is φ = 10002110122156.

The previous prime is 10002110122117. The next prime is 10002110122211. The reversal of 10002110122157 is 75122101120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9990365848516 + 11744273641 = 3160754^2 + 108371^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002110122157 - 2¹⁴ = 10002110105773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002110122117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055061078 + 5001055061079.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055061079).

Almost surely, 2^{10002110122157} is an apocalyptic number.

It is an amenable number.

10002110122157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002110122157 is an equidigital number, since it uses as much as digits as its factorization.

10002110122157 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 10002110122157 its reverse (75122101120001), we get a palindrome (85124211242158).

The spelling of 10002110122157 in words is "ten trillion, two billion, one hundred ten million, one hundred twenty-two thousand, one hundred fifty-seven".