102202122120012 has 144 divisors (see below), whose sum is σ = 277766766950400. Its totient is φ = 31583177683200.

The previous prime is 102202122119989. The next prime is 102202122120037. The reversal of 102202122120012 is 210021221202201.

It is a happy number.

102202122120012 is a `hidden beast` number, since 1 + 0 + 220 + 21 + 221 + 200 + 1 + 2 = 666.

It is a super-2 number, since 2×102202122120012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229668064 + ... + 230112632.

It is an arithmetic number, because the mean of its divisors is an integer number (1928935881600).

Almost surely, 2^{102202122120012} is an apocalyptic number.

102202122120012 is a gapful number since it is divisible by the number (12) 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 102202122120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138883383475200).

102202122120012 is an abundant number, since it is smaller than the sum of its proper divisors (175564644830388).

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

102202122120012 is a wasteful number, since it uses less digits than its factorization.

102202122120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451796 (or 451791 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202122120012 its reverse (210021221202201), we get a palindrome (312223343322213).

The spelling of 102202122120012 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, twelve".