20100101001031 has 2 divisors, whose sum is σ = 20100101001032. Its totient is φ = 20100101001030.

The previous prime is 20100101000983. The next prime is 20100101001041. The reversal of 20100101001031 is 13010010100102.

It is an a-pointer prime, because the next prime (20100101001041) can be obtained adding 20100101001031 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20100101001031 - 2³⁵ = 20065741262663 is a prime.

It is a super-2 number, since 2×20100101001031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20100101000999 and 20100101001017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100101001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050050500515 + 10050050500516.

It is an arithmetic number, because the mean of its divisors is an integer number (10050050500516).

Almost surely, 2^{20100101001031} is an apocalyptic number.

20100101001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100101001031 is an equidigital number, since it uses as much as digits as its factorization.

20100101001031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 20100101001031 its reverse (13010010100102), we get a palindrome (33110111101133).

The spelling of 20100101001031 in words is "twenty trillion, one hundred billion, one hundred one million, one thousand, thirty-one".