102121111000000 has 196 divisors, whose sum is σ = 254720540316600. Its totient is φ = 40620169600000.

The previous prime is 102121110999967. The next prime is 102121111000001. The reversal of 102121111000000 is 111121201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121111000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 178714746 + ... + 179285254.

Almost surely, 2^{102121111000000} is an apocalyptic number.

102121111000000 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 102121111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127360270158300).

102121111000000 is an abundant number, since it is smaller than the sum of its proper divisors (152599429316600).

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

102121111000000 is an frugal number, since it uses more digits than its factorization.

102121111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570730 (or 570695 counting only the distinct ones).

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

Adding to 102121111000000 its reverse (111121201), we get a palindrome (102121222121201).

The spelling of 102121111000000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million", and thus it is an aban number.