1011021216012 has 216 divisors, whose sum is σ = 2870412767040. Its totient is φ = 299152258560.

The previous prime is 1011021216011. The next prime is 1011021216013. The reversal of 1011021216012 is 2106121201101.

1011021216012 is a `hidden beast` number, since 10 + 1 + 10 + 21 + 21 + 601 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1011021216011) and next prime (1011021216013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011021216011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44861187 + ... + 44883717.

Almost surely, 2^{1011021216012} is an apocalyptic number.

1011021216012 is a gapful number since it is divisible by the number (12) 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 1011021216012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435206383520).

1011021216012 is an abundant number, since it is smaller than the sum of its proper divisors (1859391551028).

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

1011021216012 is a wasteful number, since it uses less digits than its factorization.

1011021216012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22821 (or 22799 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011021216012 its reverse (2106121201101), we get a palindrome (3117142417113).

The spelling of 1011021216012 in words is "one trillion, eleven billion, twenty-one million, two hundred sixteen thousand, twelve".