102100212010 has 32 divisors (see below), whose sum is σ = 184153726800. Its totient is φ = 40757207040.

The previous prime is 102100212007. The next prime is 102100212017. The reversal of 102100212010 is 10212001201.

It can be written as a sum of positive squares in 8 ways, for example, as 5993391889 + 96106820121 = 77417^2 + 310011^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102100212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11676240 + ... + 11684980.

Almost surely, 2^102100212010 is an apocalyptic number.

102100212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100212010 is a deficient number, since it is larger than the sum of its proper divisors (82053514790).

102100212010 is a wasteful number, since it uses less digits than its factorization.

102100212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100212010 its reverse (10212001201), we get a palindrome (112312213211).

The spelling of 102100212010 in words is "one hundred two billion, one hundred million, two hundred twelve thousand, ten".