101111002210001 has 32 divisors (see below), whose sum is σ = 123439288573440. Its totient is φ = 80844263571456.

The previous prime is 101111002209953. The next prime is 101111002210063. The reversal of 101111002210001 is 100012200111101.

It is a de Polignac number, because none of the positive numbers 2^k-101111002210001 is a prime.

It is a super-2 number, since 2×101111002210001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111002210091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544900700 + ... + 545086226.

It is an arithmetic number, because the mean of its divisors is an integer number (3857477767920).

Almost surely, 2^{101111002210001} is an apocalyptic number.

It is an amenable number.

101111002210001 is a deficient number, since it is larger than the sum of its proper divisors (22328286363439).

101111002210001 is a wasteful number, since it uses less digits than its factorization.

101111002210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226193.

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

Adding to 101111002210001 its reverse (100012200111101), we get a palindrome (201123202321102).

The spelling of 101111002210001 in words is "one hundred one trillion, one hundred eleven billion, two million, two hundred ten thousand, one".