101120100012101 has 8 divisors (see below), whose sum is σ = 101602098620064. Its totient is φ = 100638729418000.

The previous prime is 101120100012097. The next prime is 101120100012143. The reversal of 101120100012101 is 101210001021101.

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 101120100012101 - 2² = 101120100012097 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 (101120100011101) 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, 156680666 + ... + 157324731.

It is an arithmetic number, because the mean of its divisors is an integer number (12700262327508).

Almost surely, 2^{101120100012101} is an apocalyptic number.

It is an amenable number.

101120100012101 is a deficient number, since it is larger than the sum of its proper divisors (481998607963).

101120100012101 is a wasteful number, since it uses less digits than its factorization.

101120100012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314006931.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101120100012101 its reverse (101210001021101), we get a palindrome (202330101033202).

The spelling of 101120100012101 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, twelve thousand, one hundred one".