102200222221002 has 48 divisors (see below), whose sum is σ = 235330929554760. Its totient is φ = 31943622168576.

The previous prime is 102200222221001. The next prime is 102200222221043. The reversal of 102200222221002 is 200122222002201.

102200222221002 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 222 + 221 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53814856611321 + 48385365609681 = 7335861^2 + 6955959^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102200222221001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620712583 + ... + 620877210.

Almost surely, 2^{102200222221002} is an apocalyptic number.

102200222221002 is an abundant number, since it is smaller than the sum of its proper divisors (133130707333758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102200222221002 is a wasteful number, since it uses less digits than its factorization.

102200222221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241590087 (or 1241590084 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102200222221002 its reverse (200122222002201), we get a palindrome (302322444223203).

The spelling of 102200222221002 in words is "one hundred two trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, two".