101201131121031 has 6 divisors (see below), whose sum is σ = 146179411619280. Its totient is φ = 67467420747348.

The previous prime is 101201131121003. The next prime is 101201131121039. The reversal of 101201131121031 is 130121131102101.

101201131121031 is a `hidden beast` number, since 10 + 120 + 11 + 311 + 210 + 3 + 1 = 666.

It is not a de Polignac number, because 101201131121031 - 2¹⁸ = 101201130858887 is a prime.

It is a super-2 number, since 2×101201131121031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201131120995 and 101201131121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201131121039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5622285062271 + ... + 5622285062288.

It is an arithmetic number, because the mean of its divisors is an integer number (24363235269880).

Almost surely, 2^{101201131121031} is an apocalyptic number.

101201131121031 is a deficient number, since it is larger than the sum of its proper divisors (44978280498249).

101201131121031 is a wasteful number, since it uses less digits than its factorization.

101201131121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244570124565 (or 11244570124562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101201131121031 its reverse (130121131102101), we get a palindrome (231322262223132).

The spelling of 101201131121031 in words is "one hundred one trillion, two hundred one billion, one hundred thirty-one million, one hundred twenty-one thousand, thirty-one".