1020011001000 has 64 divisors (see below), whose sum is σ = 3182434332480. Its totient is φ = 272002932800.

The previous prime is 1020011000969. The next prime is 1020011001071. The reversal of 1020011001000 is 1001100201.

It is a super-2 number, since 2×1020011001000² (a number of 25 digits) contains 22 as substring.

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 1020011001000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169998834 + ... + 170004833.

It is an arithmetic number, because the mean of its divisors is an integer number (49725536445).

Almost surely, 2^{1020011001000} is an apocalyptic number.

1020011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011001000 is an abundant number, since it is smaller than the sum of its proper divisors (2162423331480).

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

1020011001000 is a wasteful number, since it uses less digits than its factorization.

1020011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340003691 (or 340003677 counting only the distinct ones).

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

Adding to 1020011001000 its reverse (1001100201), we get a palindrome (1021012101201).

The spelling of 1020011001000 in words is "one trillion, twenty billion, eleven million, one thousand".