101021021100011 has 32 divisors (see below), whose sum is σ = 114723352857600. Its totient is φ = 88370433216000.

The previous prime is 101021021099993. The next prime is 101021021100017. The reversal of 101021021100011 is 110001120120101.

It is a cyclic number.

It is not a de Polignac number, because 101021021100011 - 2²⁶ = 101020953991147 is a prime.

It is a super-3 number, since 3×101021021100011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021021099965 and 101021021100001.

It is not an unprimeable number, because it can be changed into a prime (101021021100017) 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, 359683886 + ... + 359964636.

It is an arithmetic number, because the mean of its divisors is an integer number (3585104776800).

Almost surely, 2^{101021021100011} is an apocalyptic number.

101021021100011 is a deficient number, since it is larger than the sum of its proper divisors (13702331757589).

101021021100011 is a wasteful number, since it uses less digits than its factorization.

101021021100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301859.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021021100011 its reverse (110001120120101), we get a palindrome (211022141220112).

The spelling of 101021021100011 in words is "one hundred one trillion, twenty-one billion, twenty-one million, one hundred thousand, eleven".