102101100201001 has 8 divisors (see below), whose sum is σ = 111383753976000. Its totient is φ = 92818569021840.

The previous prime is 102101100200989. The next prime is 102101100201011. The reversal of 102101100201001 is 100102001101201.

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 102101100201001 - 2⁷ = 102101100200873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101100201011) 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, 28903266 + ... + 32242843.

It is an arithmetic number, because the mean of its divisors is an integer number (13922969247000).

Almost surely, 2^{102101100201001} is an apocalyptic number.

102101100201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101100201001 is a deficient number, since it is larger than the sum of its proper divisors (9282653774999).

102101100201001 is a wasteful number, since it uses less digits than its factorization.

102101100201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61297919.

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

Adding to 102101100201001 its reverse (100102001101201), we get a palindrome (202203101302202).

The spelling of 102101100201001 in words is "one hundred two trillion, one hundred one billion, one hundred million, two hundred one thousand, one".