102101220112001 has 16 divisors (see below), whose sum is σ = 111503767228416. Its totient is φ = 92718780000000.

The previous prime is 102101220111973. The next prime is 102101220112009. The reversal of 102101220112001 is 100211022101201.

It is not a de Polignac number, because 102101220112001 - 2³⁴ = 102084040242817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101220112009) 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, 956389376 + ... + 956496126.

It is an arithmetic number, because the mean of its divisors is an integer number (6968985451776).

Almost surely, 2^{102101220112001} is an apocalyptic number.

102101220112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101220112001 is a deficient number, since it is larger than the sum of its proper divisors (9402547116415).

102101220112001 is a wasteful number, since it uses less digits than its factorization.

102101220112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200104.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101220112001 its reverse (100211022101201), we get a palindrome (202312242213202).

The spelling of 102101220112001 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred twelve thousand, one".