10210120011011 has 8 divisors (see below), whose sum is σ = 10214682442704. Its totient is φ = 10205558001760.

The previous prime is 10210120010969. The next prime is 10210120011043. The reversal of 10210120011011 is 11011002101201.

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 10210120011011 - 2²² = 10210115816707 is a prime.

It is a super-2 number, since 2×10210120011011² (a number of 27 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 = 10210120010983 and 10210120011001.

It is not an unprimeable number, because it can be changed into a prime (10210120091011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54467201 + ... + 54654333.

It is an arithmetic number, because the mean of its divisors is an integer number (1276835305338).

Almost surely, 2^{10210120011011} is an apocalyptic number.

10210120011011 is a deficient number, since it is larger than the sum of its proper divisors (4562431693).

10210120011011 is a wasteful number, since it uses less digits than its factorization.

10210120011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211221.

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

Adding to 10210120011011 its reverse (11011002101201), we get a palindrome (21221122112212).

The spelling of 10210120011011 in words is "ten trillion, two hundred ten billion, one hundred twenty million, eleven thousand, eleven".