10001022101121 has 16 divisors (see below), whose sum is σ = 14128820722368. Its totient is φ = 6270826368000.

The previous prime is 10001022101101. The next prime is 10001022101143. The reversal of 10001022101121 is 12110122010001.

It is not a de Polignac number, because 10001022101121 - 2²¹ = 10001020003969 is a prime.

It is a super-2 number, since 2×10001022101121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001022101097 and 10001022101106.

It is not an unprimeable number, because it can be changed into a prime (10001022101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67499560 + ... + 67647561.

It is an arithmetic number, because the mean of its divisors is an integer number (883051295148).

Almost surely, 2^{10001022101121} is an apocalyptic number.

It is an amenable number.

10001022101121 is a deficient number, since it is larger than the sum of its proper divisors (4127798621247).

10001022101121 is a wasteful number, since it uses less digits than its factorization.

10001022101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135148592.

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

Adding to 10001022101121 its reverse (12110122010001), we get a palindrome (22111144111122).

The spelling of 10001022101121 in words is "ten trillion, one billion, twenty-two million, one hundred one thousand, one hundred twenty-one".