101214134123140 has 48 divisors (see below), whose sum is σ = 213837439116672. Its totient is φ = 40240400541696.

The previous prime is 101214134123077. The next prime is 101214134123161. The reversal of 101214134123140 is 41321431412101.

It is a junction number, because it is equal to n+sod(n) for n = 101214134123099 and 101214134123108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46862884 + ... + 48975076.

It is an arithmetic number, because the mean of its divisors is an integer number (4454946648264).

Almost surely, 2^{101214134123140} is an apocalyptic number.

101214134123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101214134123140 is an abundant number, since it is smaller than the sum of its proper divisors (112623304993532).

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

101214134123140 is a wasteful number, since it uses less digits than its factorization.

101214134123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126716 (or 2126714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 101214134123140 its reverse (41321431412101), we get a palindrome (142535565535241).

The spelling of 101214134123140 in words is "one hundred one trillion, two hundred fourteen billion, one hundred thirty-four million, one hundred twenty-three thousand, one hundred forty".