100121211112157 has 2 divisors, whose sum is σ = 100121211112158. Its totient is φ = 100121211112156.

The previous prime is 100121211112151. The next prime is 100121211112211. The reversal of 100121211112157 is 751211112121001.

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., 88507660438201 + 11613550673956 = 9407851^2 + 3407866^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121211112157 - 2⁴ = 100121211112141 is a prime.

It is a super-2 number, since 2×100121211112157² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121211112151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060605556078 + 50060605556079.

It is an arithmetic number, because the mean of its divisors is an integer number (50060605556079).

Almost surely, 2^{100121211112157} is an apocalyptic number.

It is an amenable number.

100121211112157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121211112157 is an equidigital number, since it uses as much as digits as its factorization.

100121211112157 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 26.

Adding to 100121211112157 its reverse (751211112121001), we get a palindrome (851332323233158).

The spelling of 100121211112157 in words is "one hundred trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred fifty-seven".