21012101000000 has 784 divisors, whose sum is σ = 58360832971776. Its totient is φ = 7441920000000.

The previous prime is 21012100999993. The next prime is 21012101000081. The reversal of 21012101000000 is 10121012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 110010999905 + ... + 110011000095.

Almost surely, 2^{21012101000000} is an apocalyptic number.

21012101000000 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 21012101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180416485888).

21012101000000 is an abundant number, since it is smaller than the sum of its proper divisors (37348731971776).

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

21012101000000 is an equidigital number, since it uses as much as digits as its factorization.

21012101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21012101000000 its reverse (10121012), we get a palindrome (21012111121012).

It can be divided in two parts, 2101 and 2101000000, that multiplied together give a square (4414201000000 = 2101000²).

The spelling of 21012101000000 in words is "twenty-one trillion, twelve billion, one hundred one million", and thus it is an aban number.