2034102140100 has 432 divisors, whose sum is σ = 6736905477120. Its totient is φ = 532263312000.

The previous prime is 2034102140051. The next prime is 2034102140113. The reversal of 2034102140100 is 10412014302.

2034102140100 is a `hidden beast` number, since 203 + 41 + 0 + 21 + 401 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304548561 + ... + 304555239.

Almost surely, 2^{2034102140100} is an apocalyptic number.

2034102140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034102140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368452738560).

2034102140100 is an abundant number, since it is smaller than the sum of its proper divisors (4702803337020).

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

2034102140100 is a wasteful number, since it uses less digits than its factorization.

2034102140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2034102140100 its reverse (10412014302), we get a palindrome (2044514154402).

The spelling of 2034102140100 in words is "two trillion, thirty-four billion, one hundred two million, one hundred forty thousand, one hundred".