102112121002101 has 16 divisors (see below), whose sum is σ = 155726029046400. Its totient is φ = 58302305967168.

The previous prime is 102112121002081. The next prime is 102112121002123. The reversal of 102112121002101 is 101200121211201.

It is a happy number.

It is not a de Polignac number, because 102112121002101 - 2¹¹ = 102112121000053 is a prime.

It is a super-2 number, since 2×102112121002101² (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 (102112121002501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978201186 + ... + 1978252803.

It is an arithmetic number, because the mean of its divisors is an integer number (9732876815400).

Almost surely, 2^{102112121002101} is an apocalyptic number.

It is an amenable number.

102112121002101 is a deficient number, since it is larger than the sum of its proper divisors (53613908044299).

102112121002101 is a wasteful number, since it uses less digits than its factorization.

102112121002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956455228.

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

Adding to 102112121002101 its reverse (101200121211201), we get a palindrome (203312242213302).

The spelling of 102112121002101 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, two thousand, one hundred one".