21101212022000 has 480 divisors, whose sum is σ = 59545357103232. Its totient is φ = 7201920000000.

The previous prime is 21101212021957. The next prime is 21101212022029. The reversal of 21101212022000 is 22021210112.

It is a super-2 number, since 2×21101212022000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534515125 + ... + 1534528875.

Almost surely, 2^{21101212022000} is an apocalyptic number.

21101212022000 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 21101212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29772678551616).

21101212022000 is an abundant number, since it is smaller than the sum of its proper divisors (38444145081232).

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

21101212022000 is a wasteful number, since it uses less digits than its factorization.

21101212022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14186 (or 14159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21101212022000 its reverse (22021210112), we get a palindrome (21123233232112).

The spelling of 21101212022000 in words is "twenty-one trillion, one hundred one billion, two hundred twelve million, twenty-two thousand".