101120011120101 has 16 divisors (see below), whose sum is σ = 135512228833344. Its totient is φ = 67070572875264.

The previous prime is 101120011120061. The next prime is 101120011120157. The reversal of 101120011120101 is 101021110021101.

It is not a de Polignac number, because 101120011120101 - 2²⁵ = 101119977565669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120011120001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75959125 + ... + 77278901.

It is an arithmetic number, because the mean of its divisors is an integer number (8469514302084).

Almost surely, 2^{101120011120101} is an apocalyptic number.

It is an amenable number.

101120011120101 is a deficient number, since it is larger than the sum of its proper divisors (34392217713243).

101120011120101 is a wasteful number, since it uses less digits than its factorization.

101120011120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449620.

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

Adding to 101120011120101 its reverse (101021110021101), we get a palindrome (202141121141202).

The spelling of 101120011120101 in words is "one hundred one trillion, one hundred twenty billion, eleven million, one hundred twenty thousand, one hundred one".