102101210010 has 48 divisors (see below), whose sum is σ = 281078629416. Its totient is φ = 25625401344.

The previous prime is 102101210009. The next prime is 102101210011. The reversal of 102101210010 is 10012101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102101210009) and next prime (102101210011).

It can be written as a sum of positive squares in 4 ways, for example, as 101530812321 + 570397689 = 318639^2 + 23883^2 .

It is a super-2 number, since 2×102101210010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102101209974 and 102101210001.

It is not an unprimeable number, because it can be changed into a prime (102101210011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33364879 + ... + 33367938.

Almost surely, 2^102101210010 is an apocalyptic number.

102101210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101210010 is an abundant number, since it is smaller than the sum of its proper divisors (178977419406).

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

102101210010 is a wasteful number, since it uses less digits than its factorization.

102101210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66732847 (or 66732844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101210010 its reverse (10012101201), we get a palindrome (112113311211).

The spelling of 102101210010 in words is "one hundred two billion, one hundred one million, two hundred ten thousand, ten".