102001211031031 has 16 divisors (see below), whose sum is σ = 112540943561760. Its totient is φ = 91846844974080.

The previous prime is 102001211031011. The next prime is 102001211031059. The reversal of 102001211031031 is 130130112100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102001211031031 - 2¹³ = 102001211022839 is a prime.

It is a super-2 number, since 2×102001211031031² (a number of 29 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 = 102001211030996 and 102001211031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001211031011) 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, 7936626 + ... + 16339903.

It is an arithmetic number, because the mean of its divisors is an integer number (7033808972610).

Almost surely, 2^{102001211031031} is an apocalyptic number.

102001211031031 is a deficient number, since it is larger than the sum of its proper divisors (10539732530729).

102001211031031 is a wasteful number, since it uses less digits than its factorization.

102001211031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24284466.

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

Adding to 102001211031031 its reverse (130130112100201), we get a palindrome (232131323131232).

The spelling of 102001211031031 in words is "one hundred two trillion, one billion, two hundred eleven million, thirty-one thousand, thirty-one".