10100211201101 has 64 divisors (see below), whose sum is σ = 12596245562880. Its totient is φ = 7901175767040.

The previous prime is 10100211201089. The next prime is 10100211201127. The reversal of 10100211201101 is 10110211200101.

It is not a de Polignac number, because 10100211201101 - 2¹⁰ = 10100211200077 is a prime.

It is a super-2 number, since 2×10100211201101² (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 (10100211201131) 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 63 ways as a sum of consecutive naturals, for example, 684892010 + ... + 684906756.

It is an arithmetic number, because the mean of its divisors is an integer number (196816336920).

Almost surely, 2^{10100211201101} is an apocalyptic number.

It is an amenable number.

10100211201101 is a deficient number, since it is larger than the sum of its proper divisors (2496034361779).

10100211201101 is a wasteful number, since it uses less digits than its factorization.

10100211201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15654.

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

Adding to 10100211201101 its reverse (10110211200101), we get a palindrome (20210422401202).

It can be divided in two parts, 1010021 and 1201101, that added together give a palindrome (2211122).

The spelling of 10100211201101 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred one thousand, one hundred one".