102121132000 has 192 divisors, whose sum is σ = 255516678144. Its totient is φ = 40103078400.

The previous prime is 102121131979. The next prime is 102121132019. The reversal of 102121132000 is 231121201.

It is a super-2 number, since 2×102121132000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124083589 + ... + 124084411.

It is an arithmetic number, because the mean of its divisors is an integer number (1330816032).

Almost surely, 2^102121132000 is an apocalyptic number.

102121132000 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 102121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127758339072).

102121132000 is an abundant number, since it is smaller than the sum of its proper divisors (153395546144).

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

102121132000 is an equidigital number, since it uses as much as digits as its factorization.

102121132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102121132000 its reverse (231121201), we get a palindrome (102352253201).

The spelling of 102121132000 in words is "one hundred two billion, one hundred twenty-one million, one hundred thirty-two thousand".