100120201031131 has 2 divisors, whose sum is σ = 100120201031132. Its totient is φ = 100120201031130.

The previous prime is 100120201031107. The next prime is 100120201031153. The reversal of 100120201031131 is 131130102021001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100120201031131 - 2¹⁷ = 100120200900059 is a prime.

It is a super-2 number, since 2×100120201031131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100120201031101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060100515565 + 50060100515566.

It is an arithmetic number, because the mean of its divisors is an integer number (50060100515566).

Almost surely, 2^{100120201031131} is an apocalyptic number.

100120201031131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120201031131 is an equidigital number, since it uses as much as digits as its factorization.

100120201031131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100120201031131 its reverse (131130102021001), we get a palindrome (231250303052132).

The spelling of 100120201031131 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, thirty-one thousand, one hundred thirty-one".