1011020011000 has 64 divisors (see below), whose sum is σ = 2447365752000. Its totient is φ = 390462889600.

The previous prime is 1011020010991. The next prime is 1011020011003. The reversal of 1011020011000 is 1100201101.

It is a super-2 number, since 2×1011020011000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17402380 + ... + 17460379.

It is an arithmetic number, because the mean of its divisors is an integer number (38240089875).

Almost surely, 2^{1011020011000} is an apocalyptic number.

1011020011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011020011000 is an abundant number, since it is smaller than the sum of its proper divisors (1436345741000).

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

1011020011000 is a wasteful number, since it uses less digits than its factorization.

1011020011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34862809 (or 34862795 counting only the distinct ones).

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

Adding to 1011020011000 its reverse (1100201101), we get a palindrome (1012120212101).

The spelling of 1011020011000 in words is "one trillion, eleven billion, twenty million, eleven thousand".