101000121002110 has 128 divisors (see below), whose sum is σ = 199331554752000. Its totient is φ = 36541957939200.

The previous prime is 101000121002087. The next prime is 101000121002227. The reversal of 101000121002110 is 11200121000101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67378332141 + ... + 67378333639.

It is an arithmetic number, because the mean of its divisors is an integer number (1557277771500).

Almost surely, 2^{101000121002110} is an apocalyptic number.

101000121002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000121002110 is a deficient number, since it is larger than the sum of its proper divisors (98331433749890).

101000121002110 is a wasteful number, since it uses less digits than its factorization.

101000121002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522.

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

Adding to 101000121002110 its reverse (11200121000101), we get a palindrome (112200242002211).

The spelling of 101000121002110 in words is "one hundred one trillion, one hundred twenty-one million, two thousand, one hundred ten".