10200102222101 has 16 divisors (see below), whose sum is σ = 11163022179840. Its totient is φ = 9243141304320.

The previous prime is 10200102222073. The next prime is 10200102222103. The reversal of 10200102222101 is 10122220100201.

It is not a de Polignac number, because 10200102222101 - 2³⁴ = 10182922352917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200102222103) 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, 10074821 + ... + 11040933.

It is an arithmetic number, because the mean of its divisors is an integer number (697688886240).

Almost surely, 2^{10200102222101} is an apocalyptic number.

10200102222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200102222101 is a deficient number, since it is larger than the sum of its proper divisors (962919957739).

10200102222101 is a wasteful number, since it uses less digits than its factorization.

10200102222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969196.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10200102222101 its reverse (10122220100201), we get a palindrome (20322322322302).

The spelling of 10200102222101 in words is "ten trillion, two hundred billion, one hundred two million, two hundred twenty-two thousand, one hundred one".