2010011102121 has 64 divisors (see below), whose sum is σ = 2985508730880. Its totient is φ = 1202680952000.

The previous prime is 2010011102093. The next prime is 2010011102137. The reversal of 2010011102121 is 1212011100102.

It is not a de Polignac number, because 2010011102121 - 2¹⁴ = 2010011085737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010011102097 and 2010011102106.

It is not an unprimeable number, because it can be changed into a prime (2010011100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144775246 + ... + 144789128.

It is an arithmetic number, because the mean of its divisors is an integer number (46648573920).

Almost surely, 2^{2010011102121} is an apocalyptic number.

It is an amenable number.

2010011102121 is a deficient number, since it is larger than the sum of its proper divisors (975497628759).

2010011102121 is a wasteful number, since it uses less digits than its factorization.

2010011102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14379 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2010011102121 its reverse (1212011100102), we get a palindrome (3222022202223).

The spelling of 2010011102121 in words is "two trillion, ten billion, eleven million, one hundred two thousand, one hundred twenty-one".