214103141120 has 72 divisors (see below), whose sum is σ = 559466142480. Its totient is φ = 77855682560.

The previous prime is 214103141081. The next prime is 214103141159. The reversal of 214103141120 is 21141301412.

It is an interprime number because it is at equal distance from previous prime (214103141081) and next prime (214103141159).

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

It is a junction number, because it is equal to n+sod(n) for n = 214103141092 and 214103141101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7589015 + ... + 7617174.

It is an arithmetic number, because the mean of its divisors is an integer number (7770363090).

Almost surely, 2^214103141120 is an apocalyptic number.

214103141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214103141120 is an abundant number, since it is smaller than the sum of its proper divisors (345363001360).

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

214103141120 is a wasteful number, since it uses less digits than its factorization.

214103141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15206221 (or 15206207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 214103141120 its reverse (21141301412), we get a palindrome (235244442532).

The spelling of 214103141120 in words is "two hundred fourteen billion, one hundred three million, one hundred forty-one thousand, one hundred twenty".