1010001021000 has 128 divisors (see below), whose sum is σ = 3189170275200. Its totient is φ = 266088556800.

The previous prime is 1010001020999. The next prime is 1010001021013. The reversal of 1010001021000 is 1201000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010001021000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779115 + ... + 2277114.

It is an arithmetic number, because the mean of its divisors is an integer number (24915392775).

Almost surely, 2^{1010001021000} is an apocalyptic number.

1010001021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001021000 is an abundant number, since it is smaller than the sum of its proper divisors (2179169254200).

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

1010001021000 is a wasteful number, since it uses less digits than its factorization.

1010001021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056336 (or 4056322 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1010001021000 its reverse (1201000101), we get a palindrome (1011202021101).

The spelling of 1010001021000 in words is "one trillion, ten billion, one million, twenty-one thousand".