10202100112001 has 16 divisors (see below), whose sum is σ = 12169439920128. Its totient is φ = 8362419555600.

The previous prime is 10202100111943. The next prime is 10202100112027. The reversal of 10202100112001 is 10021100120201.

It is a cyclic number.

It is not a de Polignac number, because 10202100112001 - 2¹⁸ = 10202099849857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202100112201) 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, 7045145 + ... + 8368886.

It is an arithmetic number, because the mean of its divisors is an integer number (760589995008).

Almost surely, 2^{10202100112001} is an apocalyptic number.

It is an amenable number.

10202100112001 is a deficient number, since it is larger than the sum of its proper divisors (1967339808127).

10202100112001 is a wasteful number, since it uses less digits than its factorization.

10202100112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15418172.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10202100112001 its reverse (10021100120201), we get a palindrome (20223200232202).

The spelling of 10202100112001 in words is "ten trillion, two hundred two billion, one hundred million, one hundred twelve thousand, one".