1007102641214 has 32 divisors (see below), whose sum is σ = 1551953602080. Its totient is φ = 489856550400.

The previous prime is 1007102641201. The next prime is 1007102641217. The reversal of 1007102641214 is 4121462017001.

It is a happy number.

It is a super-2 number, since 2×1007102641214² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007102641217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100977932 + ... + 100987904.

It is an arithmetic number, because the mean of its divisors is an integer number (48498550065).

Almost surely, 2^{1007102641214} is an apocalyptic number.

1007102641214 is a deficient number, since it is larger than the sum of its proper divisors (544850960866).

1007102641214 is a wasteful number, since it uses less digits than its factorization.

1007102641214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13436.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 1007102641214 its reverse (4121462017001), we get a palindrome (5128564658215).

The spelling of 1007102641214 in words is "one trillion, seven billion, one hundred two million, six hundred forty-one thousand, two hundred fourteen".