10100221101101 has 16 divisors (see below), whose sum is σ = 10284153633600. Its totient is φ = 9918006778368.

The previous prime is 10100221101031. The next prime is 10100221101121. The reversal of 10100221101101 is 10110112200101.

It is a cyclic number.

It is not a de Polignac number, because 10100221101101 - 2³⁸ = 9825343194157 is a prime.

It is a super-2 number, since 2×10100221101101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221101121) 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, 21515870 + ... + 21980288.

It is an arithmetic number, because the mean of its divisors is an integer number (642759602100).

Almost surely, 2^{10100221101101} is an apocalyptic number.

It is an amenable number.

10100221101101 is a deficient number, since it is larger than the sum of its proper divisors (183932532499).

10100221101101 is a wasteful number, since it uses less digits than its factorization.

10100221101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466268.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100221101101 its reverse (10110112200101), we get a palindrome (20210333301202).

The spelling of 10100221101101 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred one".