2011057019601 has 32 divisors (see below), whose sum is σ = 3078892892160. Its totient is φ = 1143777274176.

The previous prime is 2011057019557. The next prime is 2011057019627. The reversal of 2011057019601 is 1069107501102.

It is not a de Polignac number, because 2011057019601 - 2⁹ = 2011057019089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011057019401) 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, 4073620 + ... + 4540538.

It is an arithmetic number, because the mean of its divisors is an integer number (96215402880).

Almost surely, 2^{2011057019601} is an apocalyptic number.

2011057019601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011057019601 is a deficient number, since it is larger than the sum of its proper divisors (1067835872559).

2011057019601 is a wasteful number, since it uses less digits than its factorization.

2011057019601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467893.

The product of its (nonzero) digits is 3780, while the sum is 33.

The spelling of 2011057019601 in words is "two trillion, eleven billion, fifty-seven million, nineteen thousand, six hundred one".