10022111200101 has 64 divisors (see below), whose sum is σ = 18426592106496. Its totient is φ = 4675920825600.

The previous prime is 10022111200081. The next prime is 10022111200103. The reversal of 10022111200101 is 10100211122001.

It is not a de Polignac number, because 10022111200101 - 2⁵ = 10022111200069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022111200103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44988435 + ... + 45210656.

It is an arithmetic number, because the mean of its divisors is an integer number (287915501664).

Almost surely, 2^{10022111200101} is an apocalyptic number.

10022111200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022111200101 is a deficient number, since it is larger than the sum of its proper divisors (8404480906395).

10022111200101 is a wasteful number, since it uses less digits than its factorization.

10022111200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90199162.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10022111200101 its reverse (10100211122001), we get a palindrome (20122322322102).

The spelling of 10022111200101 in words is "ten trillion, twenty-two billion, one hundred eleven million, two hundred thousand, one hundred one".