2101121010110 has 16 divisors (see below), whose sum is σ = 3809226582000. Its totient is φ = 834402012096.

The previous prime is 2101121010097. The next prime is 2101121010119. The reversal of 2101121010110 is 110101211012.

It is a junction number, because it is equal to n+sod(n) for n = 2101121010091 and 2101121010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101121010119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755797535 + ... + 755800314.

It is an arithmetic number, because the mean of its divisors is an integer number (238076661375).

Almost surely, 2^{2101121010110} is an apocalyptic number.

2101121010110 is a deficient number, since it is larger than the sum of its proper divisors (1708105571890).

2101121010110 is a wasteful number, since it uses less digits than its factorization.

2101121010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511597995.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101121010110 its reverse (110101211012), we get a palindrome (2211222221122).

The spelling of 2101121010110 in words is "two trillion, one hundred one billion, one hundred twenty-one million, ten thousand, one hundred ten".