101334220920 has 192 divisors, whose sum is σ = 340923492000. Its totient is φ = 26072976384.

The previous prime is 101334220919. The next prime is 101334220951. The reversal of 101334220920 is 29022433101.

It is a happy number.

101334220920 is a `hidden beast` number, since 101 + 334 + 2 + 209 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23352111 + ... + 23356449.

Almost surely, 2^101334220920 is an apocalyptic number.

101334220920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101334220920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170461746000).

101334220920 is an abundant number, since it is smaller than the sum of its proper divisors (239589271080).

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

101334220920 is a wasteful number, since it uses less digits than its factorization.

101334220920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 101334220920 in words is "one hundred one billion, three hundred thirty-four million, two hundred twenty thousand, nine hundred twenty".