102112220022001 has 48 divisors (see below), whose sum is σ = 130438252329984. Its totient is φ = 78129274927968.

The previous prime is 102112220021899. The next prime is 102112220022017. The reversal of 102112220022001 is 100220022211201.

It is a happy number.

It is not a de Polignac number, because 102112220022001 - 2⁹ = 102112220021489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112220022031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9217015 + ... + 17005228.

It is an arithmetic number, because the mean of its divisors is an integer number (2717463590208).

Almost surely, 2^{102112220022001} is an apocalyptic number.

It is an amenable number.

102112220022001 is a deficient number, since it is larger than the sum of its proper divisors (28326032307983).

102112220022001 is a wasteful number, since it uses less digits than its factorization.

102112220022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26222378 (or 26222359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102112220022001 its reverse (100220022211201), we get a palindrome (202332242233202).

The spelling of 102112220022001 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, twenty-two thousand, one".