102110001122101 has 8 divisors (see below), whose sum is σ = 116949189810944. Its totient is φ = 87333823851120.

The previous prime is 102110001122057. The next prime is 102110001122153. The reversal of 102110001122101 is 101221100011201.

It is a happy number.

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

It is not a de Polignac number, because 102110001122101 - 2⁹ = 102110001121589 is a prime.

It is a super-2 number, since 2×102110001122101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110001122401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15752850990 + ... + 15752857471.

It is an arithmetic number, because the mean of its divisors is an integer number (14618648726368).

Almost surely, 2^{102110001122101} is an apocalyptic number.

It is an amenable number.

102110001122101 is a deficient number, since it is larger than the sum of its proper divisors (14839188688843).

102110001122101 is an equidigital number, since it uses as much as digits as its factorization.

102110001122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31505708931.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102110001122101 its reverse (101221100011201), we get a palindrome (203331101133302).

The spelling of 102110001122101 in words is "one hundred two trillion, one hundred ten billion, one million, one hundred twenty-two thousand, one hundred one".