1012011021000 has 192 divisors, whose sum is σ = 3909254244480. Its totient is φ = 231316790400.

The previous prime is 1012011020987. The next prime is 1012011021019. The reversal of 1012011021000 is 1201102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7968834 + ... + 8094833.

It is an arithmetic number, because the mean of its divisors is an integer number (20360699190).

Almost surely, 2^{1012011021000} is an apocalyptic number.

1012011021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011021000 is an abundant number, since it is smaller than the sum of its proper divisors (2897243223480).

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

1012011021000 is a wasteful number, since it uses less digits than its factorization.

1012011021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16063701 (or 16063684 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012011021000 its reverse (1201102101), we get a palindrome (1013212123101).

The spelling of 1012011021000 in words is "one trillion, twelve billion, eleven million, twenty-one thousand".