101221340021334 has 192 divisors, whose sum is σ = 240162075316800. Its totient is φ = 30624533913600.

The previous prime is 101221340021303. The next prime is 101221340021341. The reversal of 101221340021334 is 433120043122101.

101221340021334 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 13 + 400 + 213 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101221340021298 and 101221340021307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4201612629 + ... + 4201636719.

It is an arithmetic number, because the mean of its divisors is an integer number (1250844142275).

Almost surely, 2^{101221340021334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221340021334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120081037658400).

101221340021334 is an abundant number, since it is smaller than the sum of its proper divisors (138940735295466).

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

101221340021334 is a wasteful number, since it uses less digits than its factorization.

101221340021334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25311 (or 25308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101221340021334 its reverse (433120043122101), we get a palindrome (534341383143435).

The spelling of 101221340021334 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred forty million, twenty-one thousand, three hundred thirty-four".