21102119976960 has 1152 divisors, whose sum is σ = 81273194598960. Its totient is φ = 5060689920000.

The previous prime is 21102119976943. The next prime is 21102119977007. The reversal of 21102119976960 is 6967991120112.

It is a happy number.

21102119976960 is a `hidden beast` number, since 211 + 0 + 211 + 99 + 76 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 21102119976897 and 21102119976906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18020597175 + ... + 18020598345.

Almost surely, 2^{21102119976960} is an apocalyptic number.

21102119976960 is a gapful number since it is divisible by the number (20) 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 21102119976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40636597299480).

21102119976960 is an abundant number, since it is smaller than the sum of its proper divisors (60171074622000).

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

21102119976960 is a wasteful number, since it uses less digits than its factorization.

21102119976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 21102119976960 in words is "twenty-one trillion, one hundred two billion, one hundred nineteen million, nine hundred seventy-six thousand, nine hundred sixty".