10100112220101 has 16 divisors (see below), whose sum is σ = 13755856460544. Its totient is φ = 6588940400064.

The previous prime is 10100112220087. The next prime is 10100112220103. The reversal of 10100112220101 is 10102221100101.

It is a de Polignac number, because none of the positive numbers 2^k-10100112220101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100112220103) 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, 5767090 + ... + 7311603.

It is an arithmetic number, because the mean of its divisors is an integer number (859741028784).

Almost surely, 2^{10100112220101} is an apocalyptic number.

It is an amenable number.

10100112220101 is a deficient number, since it is larger than the sum of its proper divisors (3655744240443).

10100112220101 is a wasteful number, since it uses less digits than its factorization.

10100112220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084220.

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

Adding to 10100112220101 its reverse (10102221100101), we get a palindrome (20202333320202).

The spelling of 10100112220101 in words is "ten trillion, one hundred billion, one hundred twelve million, two hundred twenty thousand, one hundred one".