2011012020000 has 180 divisors, whose sum is σ = 7146232403310. Its totient is φ = 536269824000.

The previous prime is 2011012019981. The next prime is 2011012020013. The reversal of 2011012020000 is 202101102.

It can be written as a sum of positive squares in 5 ways, for example, as 156066082704 + 1854945937296 = 395052^2 + 1361964^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 5406145 + ... + 5766144.

Almost surely, 2^{2011012020000} is an apocalyptic number.

2011012020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011012020000 is an abundant number, since it is smaller than the sum of its proper divisors (5135220383310).

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

2011012020000 is a wasteful number, since it uses less digits than its factorization.

2011012020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172325 (or 11172299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2011012020000 its reverse (202101102), we get a palindrome (2011214121102).

The spelling of 2011012020000 in words is "two trillion, eleven billion, twelve million, twenty thousand".