101202202202101 has 162 divisors, whose sum is σ = 141535116980838. Its totient is φ = 72064792800000.

The previous prime is 101202202202069. The next prime is 101202202202111.

It is a happy number.

101202202202101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 9 ways, for example, as 906503931025 + 100295698271076 = 952105^2 + 10014774^2 .

It is not a de Polignac number, because 101202202202101 - 2⁵ = 101202202202069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202202202111) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 10221407251 + ... + 10221417151.

Almost surely, 2^{101202202202101} is an apocalyptic number.

101202202202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202202202101 is a deficient number, since it is larger than the sum of its proper divisors (40332914778737).

101202202202101 is a wasteful number, since it uses less digits than its factorization.

101202202202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10120220 and 2202101, that added together give a palindrome (12322321).

The spelling of 101202202202101 in words is "one hundred one trillion, two hundred two billion, two hundred two million, two hundred two thousand, one hundred one".