1010211120105 has 32 divisors (see below), whose sum is σ = 1763399064960. Its totient is φ = 489765588480.

The previous prime is 1010211120103. The next prime is 1010211120131. The reversal of 1010211120105 is 5010211120101.

It is not a de Polignac number, because 1010211120105 - 2¹ = 1010211120103 is a prime.

It is a super-2 number, since 2×1010211120105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010211120101) 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, 2280381 + ... + 2687109.

It is an arithmetic number, because the mean of its divisors is an integer number (55106220780).

Almost surely, 2^{1010211120105} is an apocalyptic number.

1010211120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010211120105 is a deficient number, since it is larger than the sum of its proper divisors (753187944855).

1010211120105 is a wasteful number, since it uses less digits than its factorization.

1010211120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421801.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1010211120105 its reverse (5010211120101), we get a palindrome (6020422240206).

The spelling of 1010211120105 in words is "one trillion, ten billion, two hundred eleven million, one hundred twenty thousand, one hundred five".