102120122100010 has 48 divisors (see below), whose sum is σ = 221200377105960. Its totient is φ = 33805281793920.

The previous prime is 102120122099987. The next prime is 102120122100103. The reversal of 102120122100010 is 10001221021201.

It can be written as a sum of positive squares in 4 ways, for example, as 80664522083649 + 21455600016361 = 8981343^2 + 4632019^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3593234281 + ... + 3593262700.

Almost surely, 2^{102120122100010} is an apocalyptic number.

102120122100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120122100010 is an abundant number, since it is smaller than the sum of its proper divisors (119080255005950).

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

102120122100010 is a wasteful number, since it uses less digits than its factorization.

102120122100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186497031 (or 7186497024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120122100010 its reverse (10001221021201), we get a palindrome (112121343121211).

The spelling of 102120122100010 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, ten".