101000101211101 has 8 divisors (see below), whose sum is σ = 102533299244064. Its totient is φ = 99477815620080.

The previous prime is 101000101211059. The next prime is 101000101211117. The reversal of 101000101211101 is 101112101000101.

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 101000101211101 - 2⁴¹ = 98801077955549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000101011101) 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, 2728091835 + ... + 2728128856.

It is an arithmetic number, because the mean of its divisors is an integer number (12816662405508).

Almost surely, 2^{101000101211101} is an apocalyptic number.

It is an amenable number.

101000101211101 is a deficient number, since it is larger than the sum of its proper divisors (1533198032963).

101000101211101 is a wasteful number, since it uses less digits than its factorization.

101000101211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456220971.

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

Adding to 101000101211101 its reverse (101112101000101), we get a palindrome (202112202211202).

The spelling of 101000101211101 in words is "one hundred one trillion, one hundred one million, two hundred eleven thousand, one hundred one".