10100220012201 has 128 divisors (see below), whose sum is σ = 15749069469696. Its totient is φ = 5690147041280.

The previous prime is 10100220012187. The next prime is 10100220012209. The reversal of 10100220012201 is 10221002200101.

It is not a de Polignac number, because 10100220012201 - 2¹⁹ = 10100219487913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100220012209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14919083875 + ... + 14919084551.

It is an arithmetic number, because the mean of its divisors is an integer number (123039605232).

Almost surely, 2^{10100220012201} is an apocalyptic number.

10100220012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100220012201 is a deficient number, since it is larger than the sum of its proper divisors (5648849457495).

10100220012201 is a wasteful number, since it uses less digits than its factorization.

10100220012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100220012201 its reverse (10221002200101), we get a palindrome (20321222212302).

The spelling of 10100220012201 in words is "ten trillion, one hundred billion, two hundred twenty million, twelve thousand, two hundred one".