102211000031 has 8 divisors (see below), whose sum is σ = 116854447104. Its totient is φ = 87578021880.

The previous prime is 102211000019. The next prime is 102211000049. The reversal of 102211000031 is 130000112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211000031 is a prime.

It is a super-2 number, since 2×102211000031² (a number of 23 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 = 102210999976 and 102211000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211000051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2596295 + ... + 2635368.

It is an arithmetic number, because the mean of its divisors is an integer number (14606805888).

Almost surely, 2^102211000031 is an apocalyptic number.

102211000031 is a deficient number, since it is larger than the sum of its proper divisors (14643447073).

102211000031 is an equidigital number, since it uses as much as digits as its factorization.

102211000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234461.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102211000031 its reverse (130000112201), we get a palindrome (232211112232).

The spelling of 102211000031 in words is "one hundred two billion, two hundred eleven million, thirty-one", and thus it is an aban number.