102012220102000 has 160 divisors (see below), whose sum is σ = 265651598459520. Its totient is φ = 37664380569600.

The previous prime is 102012220101949. The next prime is 102012220102057. The reversal of 102012220102000 is 201022210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 692384341 + ... + 692531659.

It is an arithmetic number, because the mean of its divisors is an integer number (1660322490372).

Almost surely, 2^{102012220102000} is an apocalyptic number.

102012220102000 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 102012220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132825799229760).

102012220102000 is an abundant number, since it is smaller than the sum of its proper divisors (163639378357520).

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

102012220102000 is a wasteful number, since it uses less digits than its factorization.

102012220102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173988 (or 173972 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102012220102000 its reverse (201022210201), we get a palindrome (102213242312201).

The spelling of 102012220102000 in words is "one hundred two trillion, twelve billion, two hundred twenty million, one hundred two thousand".