100102120022201 has 32 divisors (see below), whose sum is σ = 111111760281600. Its totient is φ = 89422015999680.

The previous prime is 100102120022111. The next prime is 100102120022221. The reversal of 100102120022201 is 102220021201001.

It is a cyclic number.

It is not a de Polignac number, because 100102120022201 - 2¹⁸ = 100102119760057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102120022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505960640 + ... + 506158446.

It is an arithmetic number, because the mean of its divisors is an integer number (3472242508800).

Almost surely, 2^{100102120022201} is an apocalyptic number.

100102120022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102120022201 is a deficient number, since it is larger than the sum of its proper divisors (11009640259399).

100102120022201 is a wasteful number, since it uses less digits than its factorization.

100102120022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200669.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102120022201 its reverse (102220021201001), we get a palindrome (202322141223202).

The spelling of 100102120022201 in words is "one hundred trillion, one hundred two billion, one hundred twenty million, twenty-two thousand, two hundred one".