101221130414034 has 48 divisors (see below), whose sum is σ = 232218573225912. Its totient is φ = 31754911432704.

The previous prime is 101221130414029. The next prime is 101221130414071. The reversal of 101221130414034 is 430414031122101.

It is a happy number.

101221130414034 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 211 + 3 + 0 + 41 + 403 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95598469837809 + 5622660576225 = 9777447^2 + 2371215^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101221130413989 and 101221130414007.

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 23 ways as a sum of consecutive naturals, for example, 9435202 + ... + 17072354.

Almost surely, 2^{101221130414034} is an apocalyptic number.

101221130414034 is an abundant number, since it is smaller than the sum of its proper divisors (130997442811878).

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

101221130414034 is a wasteful number, since it uses less digits than its factorization.

101221130414034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680491 (or 7680488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101221130414034 its reverse (430414031122101), we get a palindrome (531635161536135).

The spelling of 101221130414034 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred thirty million, four hundred fourteen thousand, thirty-four".