102112022211201 has 40 divisors (see below), whose sum is σ = 154833599907360. Its totient is φ = 67050322523712.

The previous prime is 102112022211197. The next prime is 102112022211233. The reversal of 102112022211201 is 102112220211201.

102112022211201 is a `hidden beast` number, since 1 + 0 + 211 + 20 + 22 + 211 + 201 = 666.

It is not a de Polignac number, because 102112022211201 - 2² = 102112022211197 is a prime.

It is a super-2 number, since 2×102112022211201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112022215201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42735970 + ... + 45062036.

It is an arithmetic number, because the mean of its divisors is an integer number (3870839997684).

Almost surely, 2^{102112022211201} is an apocalyptic number.

It is an amenable number.

102112022211201 is a deficient number, since it is larger than the sum of its proper divisors (52721577696159).

102112022211201 is an equidigital number, since it uses as much as digits as its factorization.

102112022211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334235 (or 2334226 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112022211201 its reverse (102112220211201), we get a palindrome (204224242422402).

The spelling of 102112022211201 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, two hundred eleven thousand, two hundred one".