101101021002010 has 8 divisors (see below), whose sum is σ = 181981837803636. Its totient is φ = 40440408400800.

The previous prime is 101101021001963. The next prime is 101101021002017. The reversal of 101101021002010 is 10200120101101.

It can be written as a sum of positive squares in 2 ways, for example, as 93756828861721 + 7344192140289 = 9682811^2 + 2710017^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10110102100201 = 101101021002010 / (1 + 0 + 1 + 1 + 0 + 1 + 0 + 2 + 1 + 0 + 0 + 2 + 0 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (101101021002017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055051050091 + ... + 5055051050110.

Almost surely, 2^{101101021002010} is an apocalyptic number.

101101021002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101021002010 is a deficient number, since it is larger than the sum of its proper divisors (80880816801626).

101101021002010 is a wasteful number, since it uses less digits than its factorization.

101101021002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110102100208.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101021002010 its reverse (10200120101101), we get a palindrome (111301141103111).

Subtracting from 101101021002010 its reverse (10200120101101), we obtain a palindrome (90900900900909).

The spelling of 101101021002010 in words is "one hundred one trillion, one hundred one billion, twenty-one million, two thousand, ten".