102101200202001 has 64 divisors (see below), whose sum is σ = 183701074636800. Its totient is φ = 48713587971840.

The previous prime is 102101200201981. The next prime is 102101200202039. The reversal of 102101200202001 is 100202002101201.

It is not a de Polignac number, because 102101200202001 - 2⁷ = 102101200201873 is a prime.

It is a super-3 number, since 3×102101200202001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101200202051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84828870 + ... + 86024063.

It is an arithmetic number, because the mean of its divisors is an integer number (2870329291200).

Almost surely, 2^{102101200202001} is an apocalyptic number.

102101200202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101200202001 is a deficient number, since it is larger than the sum of its proper divisors (81599874434799).

102101200202001 is a wasteful number, since it uses less digits than its factorization.

102101200202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170853166.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101200202001 its reverse (100202002101201), we get a palindrome (202303202303202).

It can be divided in two parts, 102101200 and 202001, that added together give a palindrome (102303201).

The spelling of 102101200202001 in words is "one hundred two trillion, one hundred one billion, two hundred million, two hundred two thousand, one".