100022011100001 has 6 divisors (see below), whose sum is σ = 144476238255570. Its totient is φ = 66681340733328.

The previous prime is 100022011099973. The next prime is 100022011100003. The reversal of 100022011100001 is 100001110220001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81357874419600 + 18664136680401 = 9019860^2 + 4320201^2 .

It is not a de Polignac number, because 100022011100001 - 2¹⁵ = 100022011067233 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: 11113556788889 = 100022011100001 / (1 + 0 + 0 + 0 + 2 + 2 + 0 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100022011100003) 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, 5556778394436 + ... + 5556778394453.

It is an arithmetic number, because the mean of its divisors is an integer number (24079373042595).

Almost surely, 2^{100022011100001} is an apocalyptic number.

It is an amenable number.

100022011100001 is a deficient number, since it is larger than the sum of its proper divisors (44454227155569).

100022011100001 is a wasteful number, since it uses less digits than its factorization.

100022011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11113556788895 (or 11113556788892 counting only the distinct ones).

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

Adding to 100022011100001 its reverse (100001110220001), we get a palindrome (200023121320002).

The spelling of 100022011100001 in words is "one hundred trillion, twenty-two billion, eleven million, one hundred thousand, one".