102000100211101 has 8 divisors (see below), whose sum is σ = 102828932670464. Its totient is φ = 101171669034240.

The previous prime is 102000100211083. The next prime is 102000100211137. The reversal of 102000100211101 is 101112001000201.

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 102000100211101 - 2¹⁷ = 102000100080029 is a prime.

It is a super-3 number, since 3×102000100211101³ (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 (102000100211701) 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, 99810180 + ... + 100826941.

It is an arithmetic number, because the mean of its divisors is an integer number (12853616583808).

Almost surely, 2^{102000100211101} is an apocalyptic number.

It is an amenable number.

102000100211101 is a deficient number, since it is larger than the sum of its proper divisors (828832459363).

102000100211101 is a wasteful number, since it uses less digits than its factorization.

102000100211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200641251.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102000100211101 its reverse (101112001000201), we get a palindrome (203112101211302).

The spelling of 102000100211101 in words is "one hundred two trillion, one hundred million, two hundred eleven thousand, one hundred one".