101001000002010 has 32 divisors (see below), whose sum is σ = 244802423774592. Its totient is φ = 26666930692800.

The previous prime is 101001000001963. The next prime is 101001000002017. The reversal of 101001000002010 is 10200000100101.

101001000002010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 101001000002010.

It is not an unprimeable number, because it can be changed into a prime (101001000002017) 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 15 ways as a sum of consecutive naturals, for example, 16666828654 + ... + 16666834713.

It is an arithmetic number, because the mean of its divisors is an integer number (7650075742956).

Almost surely, 2^{101001000002010} is an apocalyptic number.

101001000002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001000002010 is an abundant number, since it is smaller than the sum of its proper divisors (143801423772582).

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

101001000002010 is a wasteful number, since it uses less digits than its factorization.

101001000002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333663478.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101001000002010 its reverse (10200000100101), we get a palindrome (111201000102111).

The spelling of 101001000002010 in words is "one hundred one trillion, one billion, two thousand, ten".