102101001211121 has 8 divisors (see below), whose sum is σ = 117934846318944. Its totient is φ = 87359145421120.

The previous prime is 102101001211117. The next prime is 102101001211129. The reversal of 102101001211121 is 121112100101201.

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 102101001211121 - 2² = 102101001211117 is a prime.

It is a super-2 number, since 2×102101001211121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101001211096 and 102101001211105.

It is not an unprimeable number, because it can be changed into a prime (102101001211129) 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, 272997329255 + ... + 272997329628.

It is an arithmetic number, because the mean of its divisors is an integer number (14741855789868).

Almost surely, 2^{102101001211121} is an apocalyptic number.

102101001211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101001211121 is a deficient number, since it is larger than the sum of its proper divisors (15833845107823).

102101001211121 is a wasteful number, since it uses less digits than its factorization.

102101001211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545994658911.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101001211121 its reverse (121112100101201), we get a palindrome (223213101312322).

The spelling of 102101001211121 in words is "one hundred two trillion, one hundred one billion, one million, two hundred eleven thousand, one hundred twenty-one".