101011002211101 has 8 divisors (see below), whose sum is σ = 134681495404960. Its totient is φ = 67340588578992.

The previous prime is 101011002210997. The next prime is 101011002211127. The reversal of 101011002211101 is 101112200110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101011002211101 - 2¹³ = 101011002202909 is a prime.

It is a super-2 number, since 2×101011002211101² (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 (101011002211181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16862191 + ... + 22053468.

It is an arithmetic number, because the mean of its divisors is an integer number (16835186925620).

Almost surely, 2^{101011002211101} is an apocalyptic number.

It is an amenable number.

101011002211101 is a deficient number, since it is larger than the sum of its proper divisors (33670493193859).

101011002211101 is an equidigital number, since it uses as much as digits as its factorization.

101011002211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39780875.

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

Adding to 101011002211101 its reverse (101112200110101), we get a palindrome (202123202321202).

The spelling of 101011002211101 in words is "one hundred one trillion, eleven billion, two million, two hundred eleven thousand, one hundred one".