100101154113157 has 2 divisors, whose sum is σ = 100101154113158. Its totient is φ = 100101154113156.

The previous prime is 100101154113133. The next prime is 100101154113203. The reversal of 100101154113157 is 751311451101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56444357598916 + 43656796514241 = 7512946^2 + 6607329^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101154113157 - 2¹⁹ = 100101153588869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101154153157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050577056578 + 50050577056579.

It is an arithmetic number, because the mean of its divisors is an integer number (50050577056579).

Almost surely, 2^{100101154113157} is an apocalyptic number.

It is an amenable number.

100101154113157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101154113157 is an equidigital number, since it uses as much as digits as its factorization.

100101154113157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 31.

The spelling of 100101154113157 in words is "one hundred trillion, one hundred one billion, one hundred fifty-four million, one hundred thirteen thousand, one hundred fifty-seven".