102121000110000 has 1200 divisors, whose sum is σ = 381087883441408. Its totient is φ = 25474176000000.

The previous prime is 102121000109767. The next prime is 102121000110007. The reversal of 102121000110000 is 11000121201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102121000110007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16207106850 + ... + 16207113150.

Almost surely, 2^{102121000110000} is an apocalyptic number.

102121000110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190543941720704).

102121000110000 is an abundant number, since it is smaller than the sum of its proper divisors (278966883331408).

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

102121000110000 is a wasteful number, since it uses less digits than its factorization.

102121000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102121000110000 its reverse (11000121201), we get a palindrome (102132000231201).

The spelling of 102121000110000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred ten thousand".