100102022101001 has 16 divisors (see below), whose sum is σ = 100328124104208. Its totient is φ = 99876188160000.

The previous prime is 100102022100953. The next prime is 100102022101009. The reversal of 100102022101001 is 100101220201001.

It can be written as a sum of positive squares in 8 ways, for example, as 51695007125776 + 48407014975225 = 7189924^2 + 6957515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102022101001 - 2¹⁰ = 100102022099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102022101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6951039401 + ... + 6951053801.

It is an arithmetic number, because the mean of its divisors is an integer number (6270507756513).

Almost surely, 2^{100102022101001} is an apocalyptic number.

It is an amenable number.

100102022101001 is a deficient number, since it is larger than the sum of its proper divisors (226102003207).

100102022101001 is a wasteful number, since it uses less digits than its factorization.

100102022101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22652.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102022101001 its reverse (100101220201001), we get a palindrome (200203242302002).

The spelling of 100102022101001 in words is "one hundred trillion, one hundred two billion, twenty-two million, one hundred one thousand, one".