2101200100157 has 2 divisors, whose sum is σ = 2101200100158. Its totient is φ = 2101200100156.

The previous prime is 2101200100133. The next prime is 2101200100211. The reversal of 2101200100157 is 7510010021012.

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., 1322157322201 + 779042777956 = 1149851^2 + 882634^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101200100157 - 2¹⁶ = 2101200034621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101200100057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050600050078 + 1050600050079.

It is an arithmetic number, because the mean of its divisors is an integer number (1050600050079).

Almost surely, 2^{2101200100157} is an apocalyptic number.

It is an amenable number.

2101200100157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101200100157 is an equidigital number, since it uses as much as digits as its factorization.

2101200100157 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 2101200100157 its reverse (7510010021012), we get a palindrome (9611210121169).

The spelling of 2101200100157 in words is "two trillion, one hundred one billion, two hundred million, one hundred thousand, one hundred fifty-seven".