102120122000 has 160 divisors (see below), whose sum is σ = 281564416224. Its totient is φ = 35487744000.

The previous prime is 102120121933. The next prime is 102120122057. The reversal of 102120122000 is 221021201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 46068612496 + 56051509504 = 214636^2 + 236752^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 326480 + ... + 557520.

Almost surely, 2^102120122000 is an apocalyptic number.

102120122000 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 102120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140782208112).

102120122000 is an abundant number, since it is smaller than the sum of its proper divisors (179444294224).

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

102120122000 is a wasteful number, since it uses less digits than its factorization.

102120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231094 (or 231078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120122000 its reverse (221021201), we get a palindrome (102341143201).

The spelling of 102120122000 in words is "one hundred two billion, one hundred twenty million, one hundred twenty-two thousand".