102022221111201 has 12 divisors (see below), whose sum is σ = 148824494163540. Its totient is φ = 67341400072800.

The previous prime is 102022221111199. The next prime is 102022221111227. The reversal of 102022221111201 is 102111122220201.

102022221111201 is a `hidden beast` number, since 1 + 0 + 20 + 222 + 211 + 11 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84686447970576 + 17335773140625 = 9202524^2 + 4163625^2 .

It is not a de Polignac number, because 102022221111201 - 2¹ = 102022221111199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102022221111301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56117832486 + ... + 56117834303.

It is an arithmetic number, because the mean of its divisors is an integer number (12402041180295).

Almost surely, 2^{102022221111201} is an apocalyptic number.

It is an amenable number.

102022221111201 is a deficient number, since it is larger than the sum of its proper divisors (46802273052339).

102022221111201 is a wasteful number, since it uses less digits than its factorization.

102022221111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112235666896 (or 112235666893 counting only the distinct ones).

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

Adding to 102022221111201 its reverse (102111122220201), we get a palindrome (204133343331402).

The spelling of 102022221111201 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, two hundred one".