102200200121112 has 64 divisors (see below), whose sum is σ = 262698022056960. Its totient is φ = 33113195884800.

The previous prime is 102200200121111. The next prime is 102200200121143. The reversal of 102200200121112 is 211121002002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200200121091 and 102200200121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200200121111) 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, 191360628 + ... + 191893955.

It is an arithmetic number, because the mean of its divisors is an integer number (4104656594640).

Almost surely, 2^{102200200121112} is an apocalyptic number.

102200200121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200200121112 is an abundant number, since it is smaller than the sum of its proper divisors (160497821935848).

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

102200200121112 is a wasteful number, since it uses less digits than its factorization.

102200200121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383254904 (or 383254900 counting only the distinct ones).

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

Adding to 102200200121112 its reverse (211121002002201), we get a palindrome (313321202123313).

The spelling of 102200200121112 in words is "one hundred two trillion, two hundred billion, two hundred million, one hundred twenty-one thousand, one hundred twelve".