101203222302101 has 96 divisors (see below), whose sum is σ = 113490584137728. Its totient is φ = 89847014400000.

The previous prime is 101203222302059. The next prime is 101203222302109.

101203222302101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-101203222302101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203222302109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102122322716 + ... + 102122323706.

It is an arithmetic number, because the mean of its divisors is an integer number (1182193584768).

Almost surely, 2^{101203222302101} is an apocalyptic number.

It is an amenable number.

101203222302101 is a deficient number, since it is larger than the sum of its proper divisors (12287361835627).

101203222302101 is a wasteful number, since it uses less digits than its factorization.

101203222302101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 101203222302101 in words is "one hundred one trillion, two hundred three billion, two hundred twenty-two million, three hundred two thousand, one hundred one".