101202121102101 has 16 divisors (see below), whose sum is σ = 135340007001408. Its totient is φ = 67266201017600.

The previous prime is 101202121102097. The next prime is 101202121102109. The reversal of 101202121102101 is 101201121202101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101202121102101 - 2² = 101202121102097 is a prime.

It is a super-2 number, since 2×101202121102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202121102109) 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 15 ways as a sum of consecutive naturals, for example, 4035271 + ... + 14788091.

It is an arithmetic number, because the mean of its divisors is an integer number (8458750437588).

Almost surely, 2^{101202121102101} is an apocalyptic number.

It is an amenable number.

101202121102101 is a deficient number, since it is larger than the sum of its proper divisors (34137885899307).

101202121102101 is a wasteful number, since it uses less digits than its factorization.

101202121102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762212.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101202121102101 its reverse (101201121202101), we get a palindrome (202403242304202).

The spelling of 101202121102101 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred two thousand, one hundred one".