102121110010000 has 100 divisors (see below), whose sum is σ = 248820234859372. Its totient is φ = 40588262208000.

The previous prime is 102121110009967. The next prime is 102121110010013. The reversal of 102121110010000 is 10011121201.

It can be written as a sum of positive squares in 10 ways, for example, as 90825703183504 + 11295406826496 = 9530252^2 + 3360864^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×102121110010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 30952647 + ... + 34092646.

Almost surely, 2^{102121110010000} is an apocalyptic number.

102121110010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121110010000 is an abundant number, since it is smaller than the sum of its proper divisors (146699124849372).

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

102121110010000 is an equidigital number, since it uses as much as digits as its factorization.

102121110010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65045478 (or 65045457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102121110010000 its reverse (10011121201), we get a palindrome (102131121131201).

The spelling of 102121110010000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred ten million, ten thousand".