102120001022000 has 80 divisors (see below), whose sum is σ = 265920482728992. Its totient is φ = 37705846521600.

The previous prime is 102120001021993. The next prime is 102120001022003. The reversal of 102120001022000 is 220100021201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102120001022003) 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, 1963820174 + ... + 1963872173.

Almost surely, 2^{102120001022000} is an apocalyptic number.

102120001022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120001022000 is an abundant number, since it is smaller than the sum of its proper divisors (163800481706992).

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

102120001022000 is a wasteful number, since it uses less digits than its factorization.

102120001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927692383 (or 3927692367 counting only the distinct ones).

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

Adding to 102120001022000 its reverse (220100021201), we get a palindrome (102340101043201).

The spelling of 102120001022000 in words is "one hundred two trillion, one hundred twenty billion, one million, twenty-two thousand".