100100002021157 has 2 divisors, whose sum is σ = 100100002021158. Its totient is φ = 100100002021156.

The previous prime is 100100002021039. The next prime is 100100002021177. The reversal of 100100002021157 is 751120200001001.

It is a happy number.

It is an a-pointer prime, because the next prime (100100002021177) can be obtained adding 100100002021157 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95898030904516 + 4201971116641 = 9792754^2 + 2049871^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100002021157 - 2¹⁴ = 100100002004773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100002021177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050001010578 + 50050001010579.

It is an arithmetic number, because the mean of its divisors is an integer number (50050001010579).

Almost surely, 2^{100100002021157} is an apocalyptic number.

It is an amenable number.

100100002021157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100002021157 is an equidigital number, since it uses as much as digits as its factorization.

100100002021157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 100100002021157 its reverse (751120200001001), we get a palindrome (851220202022158).

The spelling of 100100002021157 in words is "one hundred trillion, one hundred billion, two million, twenty-one thousand, one hundred fifty-seven".