1011100022101 has 8 divisors (see below), whose sum is σ = 1089064088504. Its totient is φ = 933162690240.

The previous prime is 1011100022083. The next prime is 1011100022117. The reversal of 1011100022101 is 1012200011101.

It can be written as a sum of positive squares in 4 ways, for example, as 446424422500 + 564675599601 = 668150^2 + 751449^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011100022101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100022131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6605046 + ... + 6756391.

It is an arithmetic number, because the mean of its divisors is an integer number (136133011063).

Almost surely, 2^{1011100022101} is an apocalyptic number.

It is an amenable number.

1011100022101 is a deficient number, since it is larger than the sum of its proper divisors (77964066403).

1011100022101 is a wasteful number, since it uses less digits than its factorization.

1011100022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367271.

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

Adding to 1011100022101 its reverse (1012200011101), we get a palindrome (2023300033202).

It can be divided in two parts, 10111000 and 22101, that added together give a palindrome (10133101).

The spelling of 1011100022101 in words is "one trillion, eleven billion, one hundred million, twenty-two thousand, one hundred one".