102202120003031 has 8 divisors (see below), whose sum is σ = 108214358427504. Its totient is φ = 96189920357760.

The previous prime is 102202120003021. The next prime is 102202120003037. The reversal of 102202120003031 is 130300021202201.

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

It is not a de Polignac number, because 102202120003031 - 2⁴⁶ = 31833375825367 is a prime.

It is a super-2 number, since 2×102202120003031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202120003037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4179125 + ... + 14895278.

It is an arithmetic number, because the mean of its divisors is an integer number (13526794803438).

Almost surely, 2^{102202120003031} is an apocalyptic number.

102202120003031 is a deficient number, since it is larger than the sum of its proper divisors (6012238424473).

102202120003031 is a wasteful number, since it uses less digits than its factorization.

102202120003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19389601.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102202120003031 its reverse (130300021202201), we get a palindrome (232502141205232).

The spelling of 102202120003031 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, three thousand, thirty-one".