102101211122201 has 8 divisors (see below), whose sum is σ = 102265417834944. Its totient is φ = 101937011999760.

The previous prime is 102101211122147. The next prime is 102101211122249. The reversal of 102101211122201 is 102221112101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101211122201 - 2²² = 102101206927897 is a prime.

It is a super-2 number, since 2×102101211122201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102101211122201.

It is not an unprimeable number, because it can be changed into a prime (102101211122291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25341230 + ... + 29092616.

It is an arithmetic number, because the mean of its divisors is an integer number (12783177229368).

Almost surely, 2^{102101211122201} is an apocalyptic number.

It is an amenable number.

102101211122201 is a deficient number, since it is larger than the sum of its proper divisors (164206712743).

102101211122201 is an equidigital number, since it uses as much as digits as its factorization.

102101211122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795151.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102101211122201 its reverse (102221112101201), we get a palindrome (204322323223402).

The spelling of 102101211122201 in words is "one hundred two trillion, one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, two hundred one".