101102112110001 has 8 divisors (see below), whose sum is σ = 134811420461344. Its totient is φ = 67397105916000.

The previous prime is 101102112109987. The next prime is 101102112110023. The reversal of 101102112110001 is 100011211201101.

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

It is not a de Polignac number, because 101102112110001 - 2¹⁷ = 101102111978929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102112118001) 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, 1075484500 + ... + 1075578501.

It is an arithmetic number, because the mean of its divisors is an integer number (16851427557668).

Almost surely, 2^{101102112110001} is an apocalyptic number.

It is an amenable number.

101102112110001 is a deficient number, since it is larger than the sum of its proper divisors (33709308351343).

101102112110001 is a wasteful number, since it uses less digits than its factorization.

101102112110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151078671.

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

Adding to 101102112110001 its reverse (100011211201101), we get a palindrome (201113323311102).

The spelling of 101102112110001 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, one".