2121132002031 has 96 divisors (see below), whose sum is σ = 3587604628608. Its totient is φ = 1182644305920.

The previous prime is 2121132002023. The next prime is 2121132002047. The reversal of 2121132002031 is 1302002311212.

It is not a de Polignac number, because 2121132002031 - 2³ = 2121132002023 is a prime.

It is a super-2 number, since 2×2121132002031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121132001995 and 2121132002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121132002071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267242095 + ... + 267250031.

It is an arithmetic number, because the mean of its divisors is an integer number (37370881548).

Almost surely, 2^{2121132002031} is an apocalyptic number.

2121132002031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2121132002031 is a deficient number, since it is larger than the sum of its proper divisors (1466472626577).

2121132002031 is a wasteful number, since it uses less digits than its factorization.

2121132002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121132002031 its reverse (1302002311212), we get a palindrome (3423134313243).

It can be divided in two parts, 212113 and 2002031, that added together give a square (2214144 = 1488²).

The spelling of 2121132002031 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two thousand, thirty-one".