10001100212121 has 8 divisors (see below), whose sum is σ = 13695200290624. Its totient is φ = 6487200137520.

The previous prime is 10001100212003. The next prime is 10001100212149. The reversal of 10001100212121 is 12121200110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001100212121 - 2²⁵ = 10001066657689 is a prime.

It is a super-2 number, since 2×10001100212121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001100212097 and 10001100212106.

It is not an unprimeable number, because it can be changed into a prime (10001100211121) 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, 45050000845 + ... + 45050001066.

It is an arithmetic number, because the mean of its divisors is an integer number (1711900036328).

Almost surely, 2^{10001100212121} is an apocalyptic number.

It is an amenable number.

10001100212121 is a deficient number, since it is larger than the sum of its proper divisors (3694100078503).

10001100212121 is an equidigital number, since it uses as much as digits as its factorization.

10001100212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90100001951.

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

Adding to 10001100212121 its reverse (12121200110001), we get a palindrome (22122300322122).

The spelling of 10001100212121 in words is "ten trillion, one billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".