102001200222012 has 384 divisors, whose sum is σ = 310438711296000. Its totient is φ = 25882752252672.

The previous prime is 102001200221989. The next prime is 102001200222029. The reversal of 102001200222012 is 210222002100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001200221982 and 102001200222000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148033963 + ... + 148721405.

It is an arithmetic number, because the mean of its divisors is an integer number (808434144000).

Almost surely, 2^{102001200222012} is an apocalyptic number.

102001200222012 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 102001200222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155219355648000).

102001200222012 is an abundant number, since it is smaller than the sum of its proper divisors (208437511073988).

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

102001200222012 is a wasteful number, since it uses less digits than its factorization.

102001200222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687590 (or 687574 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102001200222012 its reverse (210222002100201), we get a palindrome (312223202322213).

The spelling of 102001200222012 in words is "one hundred two trillion, one billion, two hundred million, two hundred twenty-two thousand, twelve".