21101214113952 has 192 divisors, whose sum is σ = 67035866333184. Its totient is φ = 5673558159360.

The previous prime is 21101214113951. The next prime is 21101214113963. The reversal of 21101214113952 is 25931141210112.

It is a super-2 number, since 2×21101214113952² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21101214113951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93461233 + ... + 93686735.

It is an arithmetic number, because the mean of its divisors is an integer number (349145137152).

Almost surely, 2^{21101214113952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101214113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33517933166592).

21101214113952 is an abundant number, since it is smaller than the sum of its proper divisors (45934652219232).

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

21101214113952 is a wasteful number, since it uses less digits than its factorization.

21101214113952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233731 (or 233723 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 21101214113952 in words is "twenty-one trillion, one hundred one billion, two hundred fourteen million, one hundred thirteen thousand, nine hundred fifty-two".