10210011120111 has 48 divisors (see below), whose sum is σ = 15114044260224. Its totient is φ = 6125622360000.

The previous prime is 10210011120041. The next prime is 10210011120131. The reversal of 10210011120111 is 11102111001201.

It is not a de Polignac number, because 10210011120111 - 2²⁶ = 10209944011247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210011120131) 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 47 ways as a sum of consecutive naturals, for example, 268757460 + ... + 268795446.

It is an arithmetic number, because the mean of its divisors is an integer number (314875922088).

Almost surely, 2^{10210011120111} is an apocalyptic number.

10210011120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10210011120111 is a deficient number, since it is larger than the sum of its proper divisors (4904033140113).

10210011120111 is a wasteful number, since it uses less digits than its factorization.

10210011120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45444 (or 45433 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10210011120111 its reverse (11102111001201), we get a palindrome (21312122121312).

It can be divided in two parts, 102100 and 11120111, that added together give a palindrome (11222211).

The spelling of 10210011120111 in words is "ten trillion, two hundred ten billion, eleven million, one hundred twenty thousand, one hundred eleven".