1001010022101 has 24 divisors (see below), whose sum is σ = 1551160709280. Its totient is φ = 644328285552.

The previous prime is 1001010022093. The next prime is 1001010022121. The reversal of 1001010022101 is 1012200101001.

It is a happy number.

It is not a de Polignac number, because 1001010022101 - 2³ = 1001010022093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71016795 + ... + 71030888.

It is an arithmetic number, because the mean of its divisors is an integer number (64631696220).

Almost surely, 2^{1001010022101} is an apocalyptic number.

It is an amenable number.

1001010022101 is a deficient number, since it is larger than the sum of its proper divisors (550150687179).

1001010022101 is an equidigital number, since it uses as much as digits as its factorization.

1001010022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142047727 (or 142047715 counting only the distinct ones).

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

Adding to 1001010022101 its reverse (1012200101001), we get a palindrome (2013210123102).

The spelling of 1001010022101 in words is "one trillion, one billion, ten million, twenty-two thousand, one hundred one".