101111002211001 has 8 divisors (see below), whose sum is σ = 137683066840704. Its totient is φ = 65973136194320.

The previous prime is 101111002210951. The next prime is 101111002211029. The reversal of 101111002211001 is 100112200111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111002211001 - 2¹⁵ = 101111002178233 is a prime.

It is a super-2 number, since 2×101111002211001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111002211041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358549653090 + ... + 358549653371.

It is an arithmetic number, because the mean of its divisors is an integer number (17210383355088).

Almost surely, 2^{101111002211001} is an apocalyptic number.

It is an amenable number.

101111002211001 is a deficient number, since it is larger than the sum of its proper divisors (36572064629703).

101111002211001 is an equidigital number, since it uses as much as digits as its factorization.

101111002211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717099306511.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111002211001 its reverse (100112200111101), we get a palindrome (201223202322102).

The spelling of 101111002211001 in words is "one hundred one trillion, one hundred eleven billion, two million, two hundred eleven thousand, one".