10110211201101 has 32 divisors (see below), whose sum is σ = 14853041496576. Its totient is φ = 6066047880000.

The previous prime is 10110211201049. The next prime is 10110211201147.

10110211201101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10110211201101 - 2⁶ = 10110211201037 is a prime.

It is a super-2 number, since 2×10110211201101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110211201301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30133470 + ... + 30467136.

It is an arithmetic number, because the mean of its divisors is an integer number (464157546768).

Almost surely, 2^{10110211201101} is an apocalyptic number.

10110211201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110211201101 is a deficient number, since it is larger than the sum of its proper divisors (4742830295475).

10110211201101 is a wasteful number, since it uses less digits than its factorization.

10110211201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342873.

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

It can be divided in two parts, 1011021 and 1201101, that multiplied together give a palindrome (1214338334121).

The spelling of 10110211201101 in words is "ten trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand, one hundred one".