102100101211001 has 8 divisors (see below), whose sum is σ = 102183587795904. Its totient is φ = 102016616160240.

The previous prime is 102100101210917. The next prime is 102100101211103. The reversal of 102100101211001 is 100112101001201.

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 102100101211001 - 2¹⁴ = 102100101194617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100101213001) 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, 160198796 + ... + 160834866.

It is an arithmetic number, because the mean of its divisors is an integer number (12772948474488).

Almost surely, 2^{102100101211001} is an apocalyptic number.

It is an amenable number.

102100101211001 is a deficient number, since it is larger than the sum of its proper divisors (83486584903).

102100101211001 is a wasteful number, since it uses less digits than its factorization.

102100101211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767071.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100101211001 its reverse (100112101001201), we get a palindrome (202212202212202).

It can be divided in two parts, 102100 and 101211001, that added together give a palindrome (101313101).

The spelling of 102100101211001 in words is "one hundred two trillion, one hundred billion, one hundred one million, two hundred eleven thousand, one".