10100211122001 has 64 divisors (see below), whose sum is σ = 18570186141696. Its totient is φ = 4712359161600.

The previous prime is 10100211121981. The next prime is 10100211122011. The reversal of 10100211122001 is 10022111200101.

It is not a de Polignac number, because 10100211122001 - 2⁹ = 10100211121489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100211122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45339885 + ... + 45562106.

It is an arithmetic number, because the mean of its divisors is an integer number (290159158464).

Almost surely, 2^{10100211122001} is an apocalyptic number.

10100211122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100211122001 is a deficient number, since it is larger than the sum of its proper divisors (8469975019695).

10100211122001 is a wasteful number, since it uses less digits than its factorization.

10100211122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90902062.

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

Adding to 10100211122001 its reverse (10022111200101), we get a palindrome (20122322322102).

The spelling of 10100211122001 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred twenty-two thousand, one".