101212221111001 has 96 divisors (see below), whose sum is σ = 145290360628224. Its totient is φ = 68369601484800.

The previous prime is 101212221110867. The next prime is 101212221111037. The reversal of 101212221111001 is 100111122212101.

It is a de Polignac number, because none of the positive numbers 2^k-101212221111001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101212221111301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86083671 + ... + 87251491.

It is an arithmetic number, because the mean of its divisors is an integer number (1513441256544).

Almost surely, 2^{101212221111001} is an apocalyptic number.

101212221111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212221111001 is a deficient number, since it is larger than the sum of its proper divisors (44078139517223).

101212221111001 is a wasteful number, since it uses less digits than its factorization.

101212221111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168343 (or 1168332 counting only the distinct ones).

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

Adding to 101212221111001 its reverse (100111122212101), we get a palindrome (201323343323102).

The spelling of 101212221111001 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty-one million, one hundred eleven thousand, one".