1010000022101 has 96 divisors (see below), whose sum is σ = 1262475434880. Its totient is φ = 804180787200.

The previous prime is 1010000022091. The next prime is 1010000022139. The reversal of 1010000022101 is 1012200000101.

It is not a de Polignac number, because 1010000022101 - 2³⁴ = 992820152917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000022151) 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 95 ways as a sum of consecutive naturals, for example, 1575662741 + ... + 1575663381.

It is an arithmetic number, because the mean of its divisors is an integer number (13150785780).

Almost surely, 2^{1010000022101} is an apocalyptic number.

It is an amenable number.

1010000022101 is a deficient number, since it is larger than the sum of its proper divisors (252475412779).

1010000022101 is a wasteful number, since it uses less digits than its factorization.

1010000022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010000022101 its reverse (1012200000101), we get a palindrome (2022200022202).

It can be divided in two parts, 10100000 and 22101, that added together give a palindrome (10122101).

The spelling of 1010000022101 in words is "one trillion, ten billion, twenty-two thousand, one hundred one".