102201100122012 has 48 divisors (see below), whose sum is σ = 240220613068800. Its totient is φ = 33816909317760.

The previous prime is 102201100121977. The next prime is 102201100122013. The reversal of 102201100122012 is 210221001102201.

It is a super-2 number, since 2×102201100122012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201100121982 and 102201100122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201100122013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6647712 + ... + 15766872.

It is an arithmetic number, because the mean of its divisors is an integer number (5004596105600).

Almost surely, 2^{102201100122012} is an apocalyptic number.

102201100122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201100122012 is an abundant number, since it is smaller than the sum of its proper divisors (138019512946788).

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

102201100122012 is a wasteful number, since it uses less digits than its factorization.

102201100122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126026 (or 9126024 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102201100122012 its reverse (210221001102201), we get a palindrome (312422101224213).

The spelling of 102201100122012 in words is "one hundred two trillion, two hundred one billion, one hundred million, one hundred twenty-two thousand, twelve".