110101211000101 has 8 divisors (see below), whose sum is σ = 111191764792608. Its totient is φ = 109010665890000.

The previous prime is 110101211000071. The next prime is 110101211000117. The reversal of 110101211000101 is 101000112101011.

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 110101211000101 - 2¹⁵ = 110101210967333 is a prime.

It is a super-2 number, since 2×110101211000101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101211000801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24991966 + ... + 29065456.

It is an arithmetic number, because the mean of its divisors is an integer number (13898970599076).

Almost surely, 2^{110101211000101} is an apocalyptic number.

It is an amenable number.

110101211000101 is a deficient number, since it is larger than the sum of its proper divisors (1090553792507).

110101211000101 is a wasteful number, since it uses less digits than its factorization.

110101211000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341203.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110101211000101 its reverse (101000112101011), we get a palindrome (211101323101112).

The spelling of 110101211000101 in words is "one hundred ten trillion, one hundred one billion, two hundred eleven million, one hundred one", and thus it is an aban number.