102001121102011 has 8 divisors (see below), whose sum is σ = 102009926026800. Its totient is φ = 101992316585952.

The previous prime is 102001121101993. The next prime is 102001121102107. The reversal of 102001121102011 is 110201121100201.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 102001121102011 - 2¹³ = 102001121093819 is a prime.

It is a super-2 number, since 2×102001121102011² (a number of 29 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 = 102001121101982 and 102001121102000.

It is not an unprimeable number, because it can be changed into a prime (102001121102911) 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, 678579540 + ... + 678729838.

It is an arithmetic number, because the mean of its divisors is an integer number (12751240753350).

Almost surely, 2^{102001121102011} is an apocalyptic number.

102001121102011 is a deficient number, since it is larger than the sum of its proper divisors (8804924789).

102001121102011 is a wasteful number, since it uses less digits than its factorization.

102001121102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204365.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102001121102011 its reverse (110201121100201), we get a palindrome (212202242202212).

The spelling of 102001121102011 in words is "one hundred two trillion, one billion, one hundred twenty-one million, one hundred two thousand, eleven".