101002122201011 has 16 divisors (see below), whose sum is σ = 103973486198400. Its totient is φ = 98070320744448.

The previous prime is 101002122200983. The next prime is 101002122201049. The reversal of 101002122201011 is 110102221200101.

It is a cyclic number.

It is not a de Polignac number, because 101002122201011 - 2³⁰ = 101001048459187 is a prime.

It is a super-3 number, since 3×101002122201011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002122201811) 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, 114766310 + ... + 115643028.

It is an arithmetic number, because the mean of its divisors is an integer number (6498342887400).

Almost surely, 2^{101002122201011} is an apocalyptic number.

101002122201011 is a deficient number, since it is larger than the sum of its proper divisors (2971363997389).

101002122201011 is an equidigital number, since it uses as much as digits as its factorization.

101002122201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899278.

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

Adding to 101002122201011 its reverse (110102221200101), we get a palindrome (211104343401112).

The spelling of 101002122201011 in words is "one hundred one trillion, two billion, one hundred twenty-two million, two hundred one thousand, eleven".