101121010011 has 40 divisors (see below), whose sum is σ = 172711857120. Its totient is φ = 57758355072.

The previous prime is 101121009971. The next prime is 101121010031. The reversal of 101121010011 is 110010121101.

It is not a de Polignac number, because 101121010011 - 2⁹ = 101121009499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101121009975 and 101121010002.

It is not an unprimeable number, because it can be changed into a prime (101121010031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1310245 + ... + 1385273.

It is an arithmetic number, because the mean of its divisors is an integer number (4317796428).

Almost surely, 2^101121010011 is an apocalyptic number.

101121010011 is a deficient number, since it is larger than the sum of its proper divisors (71590847109).

101121010011 is an equidigital number, since it uses as much as digits as its factorization.

101121010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77425 (or 77416 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101121010011 its reverse (110010121101), we get a palindrome (211131131112).

The spelling of 101121010011 in words is "one hundred one billion, one hundred twenty-one million, ten thousand, eleven".