3414110102100 has 144 divisors (see below), whose sum is σ = 11243432874240. Its totient is φ = 888223737600.

The previous prime is 3414110102089. The next prime is 3414110102101. The reversal of 3414110102100 is 12010114143.

3414110102100 is a `hidden beast` number, since 3 + 41 + 411 + 0 + 1 + 0 + 210 + 0 = 666.

It is a super-2 number, since 2×3414110102100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414110102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15309852 + ... + 15531251.

It is an arithmetic number, because the mean of its divisors is an integer number (78079394960).

Almost surely, 2^{3414110102100} is an apocalyptic number.

3414110102100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414110102100 is an abundant number, since it is smaller than the sum of its proper divisors (7829322772140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3414110102100 is a wasteful number, since it uses less digits than its factorization.

3414110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30841167 (or 30841154 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3414110102100 its reverse (12010114143), we get a palindrome (3426120216243).

The spelling of 3414110102100 in words is "three trillion, four hundred fourteen billion, one hundred ten million, one hundred two thousand, one hundred".