101202323202101 has 48 divisors (see below), whose sum is σ = 116776470642048. Its totient is φ = 87472096757760.

The previous prime is 101202323202061. The next prime is 101202323202247.

101202323202101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-101202323202101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202323202401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307326326 + ... + 307655448.

It is an arithmetic number, because the mean of its divisors is an integer number (2432843138376).

Almost surely, 2^{101202323202101} is an apocalyptic number.

101202323202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202323202101 is a deficient number, since it is larger than the sum of its proper divisors (15574147439947).

101202323202101 is a wasteful number, since it uses less digits than its factorization.

101202323202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329834 (or 329823 counting only the distinct ones).

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

The spelling of 101202323202101 in words is "one hundred one trillion, two hundred two billion, three hundred twenty-three million, two hundred two thousand, one hundred one".