100122220102201 has 24 divisors (see below), whose sum is σ = 119235217080672. Its totient is φ = 83673836400000.

The previous prime is 100122220102153. The next prime is 100122220102211. The reversal of 100122220102201 is 102201022221001.

It is a happy number.

It is not a de Polignac number, because 100122220102201 - 2²⁷ = 100122085884473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122220102211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565887175 + ... + 566064076.

It is an arithmetic number, because the mean of its divisors is an integer number (4968134045028).

Almost surely, 2^{100122220102201} is an apocalyptic number.

100122220102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122220102201 is a deficient number, since it is larger than the sum of its proper divisors (19112996978471).

100122220102201 is a wasteful number, since it uses less digits than its factorization.

100122220102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131951333 (or 1131951322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122220102201 its reverse (102201022221001), we get a palindrome (202323242323202).

The spelling of 100122220102201 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, one hundred two thousand, two hundred one".