10020100101157 has 2 divisors, whose sum is σ = 10020100101158. Its totient is φ = 10020100101156.

The previous prime is 10020100101103. The next prime is 10020100101161. The reversal of 10020100101157 is 75110100102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9309736006596 + 710364094561 = 3051186^2 + 842831^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020100101157 - 2⁷ = 10020100101029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020100101257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010050050578 + 5010050050579.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050050579).

Almost surely, 2^{10020100101157} is an apocalyptic number.

It is an amenable number.

10020100101157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020100101157 is an equidigital number, since it uses as much as digits as its factorization.

10020100101157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 10020100101157 its reverse (75110100102001), we get a palindrome (85130200203158).

The spelling of 10020100101157 in words is "ten trillion, twenty billion, one hundred million, one hundred one thousand, one hundred fifty-seven".