100120100937557 has 2 divisors, whose sum is σ = 100120100937558. Its totient is φ = 100120100937556.

The previous prime is 100120100937511. The next prime is 100120100937611. The reversal of 100120100937557 is 755739001021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62568194920036 + 37551906017521 = 7910006^2 + 6127961^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120100937557 - 2¹⁴ = 100120100921173 is a prime.

It is a super-2 number, since 2×100120100937557² (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 (100120100937257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060050468778 + 50060050468779.

It is an arithmetic number, because the mean of its divisors is an integer number (50060050468779).

Almost surely, 2^{100120100937557} is an apocalyptic number.

It is an amenable number.

100120100937557 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120100937557 is an equidigital number, since it uses as much as digits as its factorization.

100120100937557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 66150, while the sum is 41.

Adding to 100120100937557 its reverse (755739001021001), we get a palindrome (855859101958558).

The spelling of 100120100937557 in words is "one hundred trillion, one hundred twenty billion, one hundred million, nine hundred thirty-seven thousand, five hundred fifty-seven".