100121020157 has 2 divisors, whose sum is σ = 100121020158. Its totient is φ = 100121020156.

The previous prime is 100121020147. The next prime is 100121020267. The reversal of 100121020157 is 751020121001.

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., 99792178201 + 328841956 = 315899^2 + 18134^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121020157 - 2¹⁰ = 100121019133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121020147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060510078 + 50060510079.

It is an arithmetic number, because the mean of its divisors is an integer number (50060510079).

Almost surely, 2^100121020157 is an apocalyptic number.

It is an amenable number.

100121020157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121020157 is an equidigital number, since it uses as much as digits as its factorization.

100121020157 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 100121020157 its reverse (751020121001), we get a palindrome (851141141158).

The spelling of 100121020157 in words is "one hundred billion, one hundred twenty-one million, twenty thousand, one hundred fifty-seven".