1012110021000 has 384 divisors, whose sum is σ = 3686596149600. Its totient is φ = 248964710400.

The previous prime is 1012110020981. The next prime is 1012110021073. The reversal of 1012110021000 is 1200112101.

It is a happy number.

1012110021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 209147070276 + 802962950724 = 457326^2 + 896082^2 .

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

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, 314611392 + ... + 314614608.

Almost surely, 2^{1012110021000} is an apocalyptic number.

1012110021000 is a gapful number since it is divisible by the number (10) 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 1012110021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843298074800).

1012110021000 is an abundant number, since it is smaller than the sum of its proper divisors (2674486128600).

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

1012110021000 is a wasteful number, since it uses less digits than its factorization.

1012110021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5929 counting only the distinct ones).

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

Adding to 1012110021000 its reverse (1200112101), we get a palindrome (1013310133101).

The spelling of 1012110021000 in words is "one trillion, twelve billion, one hundred ten million, twenty-one thousand".