10121100010011 has 12 divisors (see below), whose sum is σ = 14620411327392. Its totient is φ = 6746917862256.

The previous prime is 10121100010003. The next prime is 10121100010061. The reversal of 10121100010011 is 11001000112101.

It is not a de Polignac number, because 10121100010011 - 2³ = 10121100010003 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 = 10121100009975 and 10121100010002.

It is not an unprimeable number, because it can be changed into a prime (10121100010061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40045731 + ... + 40297676.

It is an arithmetic number, because the mean of its divisors is an integer number (1218367610616).

Almost surely, 2^{10121100010011} is an apocalyptic number.

10121100010011 is a deficient number, since it is larger than the sum of its proper divisors (4499311317381).

10121100010011 is a wasteful number, since it uses less digits than its factorization.

10121100010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80357410 (or 80357407 counting only the distinct ones).

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

Adding to 10121100010011 its reverse (11001000112101), we get a palindrome (21122100122112).

The spelling of 10121100010011 in words is "ten trillion, one hundred twenty-one billion, one hundred million, ten thousand, eleven".