102121101110101 has 32 divisors (see below), whose sum is σ = 107062187581440. Its totient is φ = 97321488460800.

The previous prime is 102121101110011. The next prime is 102121101110117. The reversal of 102121101110101 is 101011101121201.

It is a cyclic number.

It is not a de Polignac number, because 102121101110101 - 2³⁵ = 102086741371733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121101116101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222957960 + ... + 223415518.

It is an arithmetic number, because the mean of its divisors is an integer number (3345693361920).

Almost surely, 2^{102121101110101} is an apocalyptic number.

It is an amenable number.

102121101110101 is a deficient number, since it is larger than the sum of its proper divisors (4941086471339).

102121101110101 is a wasteful number, since it uses less digits than its factorization.

102121101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458277.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102121101110101 its reverse (101011101121201), we get a palindrome (203132202231302).

The spelling of 102121101110101 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand, one hundred one".