10022100101001 has 6 divisors (see below), whose sum is σ = 14476366812570. Its totient is φ = 6681400067328.

The previous prime is 10022100100993. The next prime is 10022100101033. The reversal of 10022100101001 is 10010100122001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8799671347776 + 1222428753225 = 2966424^2 + 1105635^2 .

It is not a de Polignac number, because 10022100101001 - 2³ = 10022100100993 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: 1113566677889 = 10022100101001 / (1 + 0 + 0 + 2 + 2 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10022100101051) 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, 556783338936 + ... + 556783338953.

It is an arithmetic number, because the mean of its divisors is an integer number (2412727802095).

Almost surely, 2^{10022100101001} is an apocalyptic number.

It is an amenable number.

10022100101001 is a deficient number, since it is larger than the sum of its proper divisors (4454266711569).

10022100101001 is a wasteful number, since it uses less digits than its factorization.

10022100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113566677895 (or 1113566677892 counting only the distinct ones).

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

Adding to 10022100101001 its reverse (10010100122001), we get a palindrome (20032200223002).

The spelling of 10022100101001 in words is "ten trillion, twenty-two billion, one hundred million, one hundred one thousand, one".