10022211120101 has 16 divisors (see below), whose sum is σ = 10389261340080. Its totient is φ = 9661152737280.

The previous prime is 10022211120091. The next prime is 10022211120107. The reversal of 10022211120101 is 10102111222001.

It can be written as a sum of positive squares in 8 ways, for example, as 821332563076 + 9200878557025 = 906274^2 + 3033295^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022211120101 - 2¹⁸ = 10022210857957 is a prime.

It is a super-2 number, since 2×10022211120101² (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 (10022211120107) 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, 4270691 + ... + 6187343.

It is an arithmetic number, because the mean of its divisors is an integer number (649328833755).

Almost surely, 2^{10022211120101} is an apocalyptic number.

It is an amenable number.

10022211120101 is a deficient number, since it is larger than the sum of its proper divisors (367050219979).

10022211120101 is a wasteful number, since it uses less digits than its factorization.

10022211120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918216.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10022211120101 its reverse (10102111222001), we get a palindrome (20124322342102).

The spelling of 10022211120101 in words is "ten trillion, twenty-two billion, two hundred eleven million, one hundred twenty thousand, one hundred one".