102120121000 has 64 divisors (see below), whose sum is σ = 239031336960. Its totient is φ = 40836040000.

The previous prime is 102120120983. The next prime is 102120121001. The reversal of 102120121000 is 121021201.

102120121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102120121000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102120121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3897945 + ... + 3924055.

It is an arithmetic number, because the mean of its divisors is an integer number (3734864640).

Almost surely, 2^102120121000 is an apocalyptic number.

102120121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120121000 is an abundant number, since it is smaller than the sum of its proper divisors (136911215960).

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

102120121000 is a wasteful number, since it uses less digits than its factorization.

102120121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30043 (or 30029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102120121000 its reverse (121021201), we get a palindrome (102241142201).

The spelling of 102120121000 in words is "one hundred two billion, one hundred twenty million, one hundred twenty-one thousand".