1020111001000 has 128 divisors (see below), whose sum is σ = 2937919944960. Its totient is φ = 322848288000.

The previous prime is 1020111000971. The next prime is 1020111001009. The reversal of 1020111001000 is 1001110201.

1020111001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020111001000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1020111001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5514006 + ... + 5696005.

It is an arithmetic number, because the mean of its divisors is an integer number (22952499570).

Almost surely, 2^{1020111001000} is an apocalyptic number.

1020111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020111001000 is an abundant number, since it is smaller than the sum of its proper divisors (1917808943960).

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

1020111001000 is a wasteful number, since it uses less digits than its factorization.

1020111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11210052 (or 11210038 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1020111001000 its reverse (1001110201), we get a palindrome (1021112111201).

It can be divided in two parts, 102011 and 1001000, that added together give a palindrome (1103011).

The spelling of 1020111001000 in words is "one trillion, twenty billion, one hundred eleven million, one thousand".