102101101112121 has 8 divisors (see below), whose sum is σ = 136426310695584. Its totient is φ = 67921646135040.

The previous prime is 102101101112117. The next prime is 102101101112141. The reversal of 102101101112121 is 121211101101201.

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

It is not a de Polignac number, because 102101101112121 - 2² = 102101101112117 is a prime.

It is a super-2 number, since 2×102101101112121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102101101112121.

It is not an unprimeable number, because it can be changed into a prime (102101101112141) 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, 36438649960 + ... + 36438652761.

It is an arithmetic number, because the mean of its divisors is an integer number (17053288836948).

Almost surely, 2^{102101101112121} is an apocalyptic number.

It is an amenable number.

102101101112121 is a deficient number, since it is larger than the sum of its proper divisors (34325209583463).

102101101112121 is an equidigital number, since it uses as much as digits as its factorization.

102101101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72877303191.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102101101112121 its reverse (121211101101201), we get a palindrome (223312202213322).

The spelling of 102101101112121 in words is "one hundred two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".