102121201000110 has 64 divisors (see below), whose sum is σ = 245823329636352. Its totient is φ = 27150940647936.

The previous prime is 102121201000109. The next prime is 102121201000111. The reversal of 102121201000110 is 11000102121201.

It is an interprime number because it is at equal distance from previous prime (102121201000109) and next prime (102121201000111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121201000111) 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, 724280679 + ... + 724421661.

It is an arithmetic number, because the mean of its divisors is an integer number (3840989525568).

Almost surely, 2^{102121201000110} is an apocalyptic number.

102121201000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121201000110 is an abundant number, since it is smaller than the sum of its proper divisors (143702128636242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121201000110 is a wasteful number, since it uses less digits than its factorization.

102121201000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212977.

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

Adding to 102121201000110 its reverse (11000102121201), we get a palindrome (113121303121311).

The spelling of 102121201000110 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred one million, one hundred ten", and thus it is an aban number.