10102202122001 has 16 divisors (see below), whose sum is σ = 11049843692160. Its totient is φ = 9159466078080.

The previous prime is 10102202121989. The next prime is 10102202122049. The reversal of 10102202122001 is 10022120220101.

It is a cyclic number.

It is not a de Polignac number, because 10102202122001 - 2¹⁸ = 10102201859857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102202122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6268820 + ... + 7713786.

It is an arithmetic number, because the mean of its divisors is an integer number (690615230760).

Almost surely, 2^{10102202122001} is an apocalyptic number.

10102202122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102202122001 is a deficient number, since it is larger than the sum of its proper divisors (947641570159).

10102202122001 is a wasteful number, since it uses less digits than its factorization.

10102202122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446664.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102202122001 its reverse (10022120220101), we get a palindrome (20124322342102).

The spelling of 10102202122001 in words is "ten trillion, one hundred two billion, two hundred two million, one hundred twenty-two thousand, one".