10200022100101 has 8 divisors (see below), whose sum is σ = 10529107142400. Its totient is φ = 9870940312320.

The previous prime is 10200022100053. The next prime is 10200022100167. The reversal of 10200022100101 is 10100122000201.

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 10200022100101 - 2¹⁹ = 10200021575813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200022100201) 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, 6639570 + ... + 8030188.

It is an arithmetic number, because the mean of its divisors is an integer number (1316138392800).

Almost surely, 2^{10200022100101} is an apocalyptic number.

It is an amenable number.

10200022100101 is a deficient number, since it is larger than the sum of its proper divisors (329085042299).

10200022100101 is a wasteful number, since it uses less digits than its factorization.

10200022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627259.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200022100101 its reverse (10100122000201), we get a palindrome (20300144100302).

The spelling of 10200022100101 in words is "ten trillion, two hundred billion, twenty-two million, one hundred thousand, one hundred one".