2102002032031 has 16 divisors (see below), whose sum is σ = 2405320593408. Its totient is φ = 1818258032800.

The previous prime is 2102002031993. The next prime is 2102002032037. The reversal of 2102002032031 is 1302302002012.

It is not a de Polignac number, because 2102002032031 - 2¹³ = 2102002023839 is a prime.

It is a super-2 number, since 2×2102002032031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102002031996 and 2102002032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102002032037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21701176 + ... + 21797821.

It is an arithmetic number, because the mean of its divisors is an integer number (150332537088).

Almost surely, 2^{2102002032031} is an apocalyptic number.

2102002032031 is a deficient number, since it is larger than the sum of its proper divisors (303318561377).

2102002032031 is a wasteful number, since it uses less digits than its factorization.

2102002032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43499222.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2102002032031 its reverse (1302302002012), we get a palindrome (3404304034043).

The spelling of 2102002032031 in words is "two trillion, one hundred two billion, two million, thirty-two thousand, thirty-one".