102120212121000 has 1024 divisors, whose sum is σ = 347427404513280. Its totient is φ = 24914304000000.

The previous prime is 102120212120957. The next prime is 102120212121073. The reversal of 102120212121000 is 121212021201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38232949665 + ... + 38232952335.

It is an arithmetic number, because the mean of its divisors is an integer number (339284574720).

Almost surely, 2^{102120212121000} is an apocalyptic number.

102120212121000 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 102120212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173713702256640).

102120212121000 is an abundant number, since it is smaller than the sum of its proper divisors (245307192392280).

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

102120212121000 is a wasteful number, since it uses less digits than its factorization.

102120212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102120212121000 its reverse (121212021201), we get a palindrome (102241424142201).

The spelling of 102120212121000 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand".