101002202112101 has 8 divisors (see below), whose sum is σ = 105193005323904. Its totient is φ = 96888294372240.

The previous prime is 101002202111957. The next prime is 101002202112107. The reversal of 101002202112101 is 101211202200101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002202112101 - 2¹⁰ = 101002202111077 is a prime.

It is a super-3 number, since 3×101002202112101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002202112107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19223865305 + ... + 19223870558.

It is an arithmetic number, because the mean of its divisors is an integer number (13149125665488).

Almost surely, 2^{101002202112101} is an apocalyptic number.

It is an amenable number.

101002202112101 is a deficient number, since it is larger than the sum of its proper divisors (4190803211803).

101002202112101 is an equidigital number, since it uses as much as digits as its factorization.

101002202112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38447735971.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002202112101 its reverse (101211202200101), we get a palindrome (202213404312202).

The spelling of 101002202112101 in words is "one hundred one trillion, two billion, two hundred two million, one hundred twelve thousand, one hundred one".