100120112121049 has 2 divisors, whose sum is σ = 100120112121050. Its totient is φ = 100120112121048.

The previous prime is 100120112120993. The next prime is 100120112121059. The reversal of 100120112121049 is 940121211021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95903475753024 + 4216636368025 = 9793032^2 + 2053445^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120112121049 - 2⁹ = 100120112120537 is a prime.

It is a super-2 number, since 2×100120112121049² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100120112121059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060056060524 + 50060056060525.

It is an arithmetic number, because the mean of its divisors is an integer number (50060056060525).

Almost surely, 2^{100120112121049} is an apocalyptic number.

It is an amenable number.

100120112121049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120112121049 is an equidigital number, since it uses as much as digits as its factorization.

100120112121049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 100120112121049 in words is "one hundred trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, forty-nine".