101620142138314 has 24 divisors (see below), whose sum is σ = 156272980522284. Its totient is φ = 49559925158400.

The previous prime is 101620142138303. The next prime is 101620142138329. The reversal of 101620142138314 is 413831241026101.

It can be written as a sum of positive squares in 6 ways, for example, as 6558285637225 + 95061856501089 = 2560915^2 + 9749967^2 .

It is a super-2 number, since 2×101620142138314² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12020544 + ... + 18647620.

Almost surely, 2^{101620142138314} is an apocalyptic number.

101620142138314 is a deficient number, since it is larger than the sum of its proper divisors (54652838383970).

101620142138314 is an equidigital number, since it uses as much as digits as its factorization.

101620142138314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631722 (or 6631681 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 101620142138314 in words is "one hundred one trillion, six hundred twenty billion, one hundred forty-two million, one hundred thirty-eight thousand, three hundred fourteen".