2011001000140 has 192 divisors, whose sum is σ = 4685833152000. Its totient is φ = 718894725120.

The previous prime is 2011001000137. The next prime is 2011001000153. The reversal of 2011001000140 is 410001001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2341095031 + ... + 2341095889.

It is an arithmetic number, because the mean of its divisors is an integer number (24405381000).

Almost surely, 2^{2011001000140} is an apocalyptic number.

2011001000140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011001000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342916576000).

2011001000140 is an abundant number, since it is smaller than the sum of its proper divisors (2674832151860).

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

2011001000140 is a wasteful number, since it uses less digits than its factorization.

2011001000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011001000140 its reverse (410001001102), we get a palindrome (2421002001242).

The spelling of 2011001000140 in words is "two trillion, eleven billion, one million, one hundred forty", and thus it is an aban number.