1011120001002 has 128 divisors (see below), whose sum is σ = 2468939673600. Its totient is φ = 305305526592.

The previous prime is 1011120000973. The next prime is 1011120001013. The reversal of 1011120001002 is 2001000211101.

It is a happy number.

It is a super-3 number, since 3×1011120001002³ (a number of 37 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 81713688 + ... + 81726060.

It is an arithmetic number, because the mean of its divisors is an integer number (19288591200).

Almost surely, 2^{1011120001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011120001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234469836800).

1011120001002 is an abundant number, since it is smaller than the sum of its proper divisors (1457819672598).

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

1011120001002 is a wasteful number, since it uses less digits than its factorization.

1011120001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889 (or 15883 counting only the distinct ones).

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

Adding to 1011120001002 its reverse (2001000211101), we get a palindrome (3012120212103).

The spelling of 1011120001002 in words is "one trillion, eleven billion, one hundred twenty million, one thousand, two".