102101020100121 has 64 divisors (see below), whose sum is σ = 161395177881600. Its totient is φ = 56195805528576.

The previous prime is 102101020100113. The next prime is 102101020100137. The reversal of 102101020100121 is 121001020101201.

It is not a de Polignac number, because 102101020100121 - 2³ = 102101020100113 is a prime.

It is a super-3 number, since 3×102101020100121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101020100097 and 102101020100106.

It is not an unprimeable number, because it can be changed into a prime (102101020100111) 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 63 ways as a sum of consecutive naturals, for example, 230187685 + ... + 230630813.

It is an arithmetic number, because the mean of its divisors is an integer number (2521799654400).

Almost surely, 2^{102101020100121} is an apocalyptic number.

It is an amenable number.

102101020100121 is a deficient number, since it is larger than the sum of its proper divisors (59294157781479).

102101020100121 is a wasteful number, since it uses less digits than its factorization.

102101020100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446158.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101020100121 its reverse (121001020101201), we get a palindrome (223102040201322).

The spelling of 102101020100121 in words is "one hundred two trillion, one hundred one billion, twenty million, one hundred thousand, one hundred twenty-one".