10110102002010 has 96 divisors (see below), whose sum is σ = 26309907196560. Its totient is φ = 2693603579904.

The previous prime is 10110102001997. The next prime is 10110102002107. The reversal of 10110102002010 is 1020020101101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7708435829649 + 2401666172361 = 2776407^2 + 1549731^2 .

It is a super-2 number, since 2×10110102002010² (a number of 27 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 = 10110102001983 and 10110102002001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498786156 + ... + 498806424.

Almost surely, 2^{10110102002010} is an apocalyptic number.

10110102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10110102002010 is an abundant number, since it is smaller than the sum of its proper divisors (16199805194550).

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

10110102002010 is a wasteful number, since it uses less digits than its factorization.

10110102002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24992 (or 24989 counting only the distinct ones).

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

Adding to 10110102002010 its reverse (1020020101101), we get a palindrome (11130122103111).

The spelling of 10110102002010 in words is "ten trillion, one hundred ten billion, one hundred two million, two thousand, ten".