102201221132031 has 16 divisors (see below), whose sum is σ = 157928647546368. Its totient is φ = 57578152749600.

The previous prime is 102201221132029. The next prime is 102201221132083. The reversal of 102201221132031 is 130231122102201.

It is not a de Polignac number, because 102201221132031 - 2¹ = 102201221132029 is a prime.

It is a super-2 number, since 2×102201221132031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102201221131989 and 102201221132007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201221134031) 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, 34272708480 + ... + 34272711461.

It is an arithmetic number, because the mean of its divisors is an integer number (9870540471648).

Almost surely, 2^{102201221132031} is an apocalyptic number.

102201221132031 is a deficient number, since it is larger than the sum of its proper divisors (55727426414337).

102201221132031 is an equidigital number, since it uses as much as digits as its factorization.

102201221132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68545420022.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102201221132031 its reverse (130231122102201), we get a palindrome (232432343234232).

The spelling of 102201221132031 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred thirty-two thousand, thirty-one".