10100112221001 has 32 divisors (see below), whose sum is σ = 15090366412800. Its totient is φ = 5954956678080.

The previous prime is 10100112220997. The next prime is 10100112221029. The reversal of 10100112221001 is 10012221100101.

It is not a de Polignac number, because 10100112221001 - 2² = 10100112220997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100112221071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7667040 + ... + 8887278.

It is an arithmetic number, because the mean of its divisors is an integer number (471573950400).

Almost surely, 2^{10100112221001} is an apocalyptic number.

10100112221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100112221001 is a deficient number, since it is larger than the sum of its proper divisors (4990254191799).

10100112221001 is a wasteful number, since it uses less digits than its factorization.

10100112221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227069.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100112221001 its reverse (10012221100101), we get a palindrome (20112333321102).

The spelling of 10100112221001 in words is "ten trillion, one hundred billion, one hundred twelve million, two hundred twenty-one thousand, one".