102220201000001 has 32 divisors (see below), whose sum is σ = 118973894860800. Its totient is φ = 86018156075520.

The previous prime is 102220200999967. The next prime is 102220201000009. The reversal of 102220201000001 is 100000102022201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102220201000001 - 2¹⁰ = 102220200998977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102220201000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149313041 + ... + 149996081.

It is an arithmetic number, because the mean of its divisors is an integer number (3717934214400).

Almost surely, 2^{102220201000001} is an apocalyptic number.

It is an amenable number.

102220201000001 is a deficient number, since it is larger than the sum of its proper divisors (16753693860799).

102220201000001 is a wasteful number, since it uses less digits than its factorization.

102220201000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684749.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102220201000001 its reverse (100000102022201), we get a palindrome (202220303022202).

The spelling of 102220201000001 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, one", and thus it is an aban number.