34455001101101 has 32 divisors (see below), whose sum is σ = 41911354368000. Its totient is φ = 27650717740800.

The previous prime is 34455001101083. The next prime is 34455001101127. The reversal of 34455001101101 is 10110110055443.

It is not a de Polignac number, because 34455001101101 - 2²² = 34454996906797 is a prime.

It is a super-3 number, since 3×34455001101101³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34455001101181) 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, 17534636 + ... + 19400346.

It is an arithmetic number, because the mean of its divisors is an integer number (1309729824000).

Almost surely, 2^{34455001101101} is an apocalyptic number.

It is an amenable number.

34455001101101 is a deficient number, since it is larger than the sum of its proper divisors (7456353266899).

34455001101101 is a wasteful number, since it uses less digits than its factorization.

34455001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866545.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 34455001101101 its reverse (10110110055443), we get a palindrome (44565111156544).

The spelling of 34455001101101 in words is "thirty-four trillion, four hundred fifty-five billion, one million, one hundred one thousand, one hundred one".