101111002212121 has 4 divisors (see below), whose sum is σ = 110302911504144. Its totient is φ = 91919092920100.

The previous prime is 101111002212083. The next prime is 101111002212127. The reversal of 101111002212121 is 121212200111101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101111002212121 - 2⁷ = 101111002211993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111002212095 and 101111002212104.

It is not an unprimeable number, because it can be changed into a prime (101111002212127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4595954645995 + ... + 4595954646016.

It is an arithmetic number, because the mean of its divisors is an integer number (27575727876036).

Almost surely, 2^{101111002212121} is an apocalyptic number.

101111002212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111002212121 is a deficient number, since it is larger than the sum of its proper divisors (9191909292023).

101111002212121 is an equidigital number, since it uses as much as digits as its factorization.

101111002212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191909292022.

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

Adding to 101111002212121 its reverse (121212200111101), we get a palindrome (222323202323222).

The spelling of 101111002212121 in words is "one hundred one trillion, one hundred eleven billion, two million, two hundred twelve thousand, one hundred twenty-one".