2034214012100 has 18 divisors (see below), whose sum is σ = 4414244406474. Its totient is φ = 813685604800.

The previous prime is 2034214012097. The next prime is 2034214012121. The reversal of 2034214012100 is 12104124302.

It can be written as a sum of positive squares in 3 ways, for example, as 91295831104 + 1942918180996 = 302152^2 + 1393886^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10171069961 + ... + 10171070160.

Almost surely, 2^{2034214012100} is an apocalyptic number.

2034214012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034214012100 is an abundant number, since it is smaller than the sum of its proper divisors (2380030394374).

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

2034214012100 is a wasteful number, since it uses less digits than its factorization.

2034214012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20342140135 (or 20342140128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2034214012100 its reverse (12104124302), we get a palindrome (2046318136402).

The spelling of 2034214012100 in words is "two trillion, thirty-four billion, two hundred fourteen million, twelve thousand, one hundred".