101120101021101 has 32 divisors (see below), whose sum is σ = 139535404646400. Its totient is φ = 65087578935360.

The previous prime is 101120101020989. The next prime is 101120101021103.

101120101021101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101120101021101 - 2²² = 101120096826797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120101021103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29852596 + ... + 33066866.

It is an arithmetic number, because the mean of its divisors is an integer number (4360481395200).

Almost surely, 2^{101120101021101} is an apocalyptic number.

It is an amenable number.

101120101021101 is a deficient number, since it is larger than the sum of its proper divisors (38415303625299).

101120101021101 is a wasteful number, since it uses less digits than its factorization.

101120101021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216489.

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

It can be divided in two parts, 10112010 and 1021101, that added together give a palindrome (11133111).

The spelling of 101120101021101 in words is "one hundred one trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, one hundred one".