102212227532137 has 32 divisors (see below), whose sum is σ = 106266036222720. Its totient is φ = 98247310560000.

The previous prime is 102212227532089. The next prime is 102212227532159. The reversal of 102212227532137 is 731235722212201.

It is a cyclic number.

It is not a de Polignac number, because 102212227532137 - 2¹¹ = 102212227530089 is a prime.

It is a super-2 number, since 2×102212227532137² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102212227532137.

It is not an unprimeable number, because it can be changed into a prime (102212227536137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6610963587 + ... + 6610979047.

It is an arithmetic number, because the mean of its divisors is an integer number (3320813631960).

Almost surely, 2^{102212227532137} is an apocalyptic number.

It is an amenable number.

102212227532137 is a deficient number, since it is larger than the sum of its proper divisors (4053808690583).

102212227532137 is a wasteful number, since it uses less digits than its factorization.

102212227532137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25105.

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 102212227532137 its reverse (731235722212201), we get a palindrome (833447949744338).

The spelling of 102212227532137 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-seven million, five hundred thirty-two thousand, one hundred thirty-seven".