102121020102101 has 64 divisors (see below), whose sum is σ = 139371020017152. Its totient is φ = 72244483200000.

The previous prime is 102121020102077. The next prime is 102121020102119. The reversal of 102121020102101 is 101201020121201.

It is a cyclic number.

It is not a de Polignac number, because 102121020102101 - 2¹⁰ = 102121020101077 is a prime.

It is a super-2 number, since 2×102121020102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121020107101) 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, 1022172251 + ... + 1022272151.

It is an arithmetic number, because the mean of its divisors is an integer number (2177672187768).

Almost surely, 2^{102121020102101} is an apocalyptic number.

102121020102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102121020102101 is a deficient number, since it is larger than the sum of its proper divisors (37249999915051).

102121020102101 is a wasteful number, since it uses less digits than its factorization.

102121020102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116734.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121020102101 its reverse (101201020121201), we get a palindrome (203322040223302).

The spelling of 102121020102101 in words is "one hundred two trillion, one hundred twenty-one billion, twenty million, one hundred two thousand, one hundred one".