102000212122100 has 36 divisors (see below), whose sum is σ = 222222294862848. Its totient is φ = 40637534700000.

The previous prime is 102000212122043. The next prime is 102000212122103. The reversal of 102000212122100 is 1221212000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000212122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2031851636 + ... + 2031901835.

It is an arithmetic number, because the mean of its divisors is an integer number (6172841523968).

Almost surely, 2^{102000212122100} is an apocalyptic number.

102000212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000212122100 is an abundant number, since it is smaller than the sum of its proper divisors (120222082740748).

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

102000212122100 is a wasteful number, since it uses less digits than its factorization.

102000212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063753736 (or 4063753729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102000212122100 its reverse (1221212000201), we get a palindrome (103221424122301).

The spelling of 102000212122100 in words is "one hundred two trillion, two hundred twelve million, one hundred twenty-two thousand, one hundred".