10100022001101 has 6 divisors (see below), whose sum is σ = 14588920668270. Its totient is φ = 6733348000728.

The previous prime is 10100022001067. The next prime is 10100022001117. The reversal of 10100022001101 is 10110022000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7072860465225 + 3027161535876 = 2659485^2 + 1739874^2 .

It is not a de Polignac number, because 10100022001101 - 2⁶ = 10100022001037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122224666789 = 10100022001101 / (1 + 0 + 1 + 0 + 0 + 0 + 2 + 2 + 0 + 0 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022001171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561112333386 + ... + 561112333403.

It is an arithmetic number, because the mean of its divisors is an integer number (2431486778045).

Almost surely, 2^{10100022001101} is an apocalyptic number.

It is an amenable number.

10100022001101 is a deficient number, since it is larger than the sum of its proper divisors (4488898667169).

10100022001101 is a wasteful number, since it uses less digits than its factorization.

10100022001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122224666795 (or 1122224666792 counting only the distinct ones).

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

Adding to 10100022001101 its reverse (10110022000101), we get a palindrome (20210044001202).

It can be divided in two parts, 1010002 and 2001101, that added together give a palindrome (3011103).

The spelling of 10100022001101 in words is "ten trillion, one hundred billion, twenty-two million, one thousand, one hundred one".