100012121011101 has 64 divisors (see below), whose sum is σ = 157091627427840. Its totient is φ = 56104151040000.

The previous prime is 100012121011063. The next prime is 100012121011139. The reversal of 100012121011101 is 101110121210001.

It is an interprime number because it is at equal distance from previous prime (100012121011063) and next prime (100012121011139).

It is not a de Polignac number, because 100012121011101 - 2¹⁵ = 100012120978333 is a prime.

It is a super-2 number, since 2×100012121011101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012121011171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33349300 + ... + 36224301.

It is an arithmetic number, because the mean of its divisors is an integer number (2454556678560).

Almost surely, 2^{100012121011101} is an apocalyptic number.

It is an amenable number.

100012121011101 is a deficient number, since it is larger than the sum of its proper divisors (57079506416739).

100012121011101 is a wasteful number, since it uses less digits than its factorization.

100012121011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69573718.

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

Adding to 100012121011101 its reverse (101110121210001), we get a palindrome (201122242221102).

The spelling of 100012121011101 in words is "one hundred trillion, twelve billion, one hundred twenty-one million, eleven thousand, one hundred one".