101102221211201 has 16 divisors (see below), whose sum is σ = 116852036688000. Its totient is φ = 85679205625728.

The previous prime is 101102221211197. The next prime is 101102221211249. The reversal of 101102221211201 is 102112122201101.

It is a cyclic number.

It is not a de Polignac number, because 101102221211201 - 2² = 101102221211197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102221211201.

It is not an unprimeable number, because it can be changed into a prime (101102221211281) 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, 2887775 + ... + 14510123.

It is an arithmetic number, because the mean of its divisors is an integer number (7303252293000).

Almost surely, 2^{101102221211201} is an apocalyptic number.

It is an amenable number.

101102221211201 is a deficient number, since it is larger than the sum of its proper divisors (15749815476799).

101102221211201 is a wasteful number, since it uses less digits than its factorization.

101102221211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11636408.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101102221211201 its reverse (102112122201101), we get a palindrome (203214343412302).

The spelling of 101102221211201 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, two hundred one".