2101101210112 has 20 divisors (see below), whose sum is σ = 4198098707946. Its totient is φ = 1050550604800.

The previous prime is 2101101210107. The next prime is 2101101210137. The reversal of 2101101210112 is 2110121011012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1584335759616 + 516765450496 = 1258704^2 + 718864^2 .

It is a super-2 number, since 2×2101101210112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101101210092 and 2101101210101.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051856139 + ... + 2051857162.

Almost surely, 2^{2101101210112} is an apocalyptic number.

It is an amenable number.

2101101210112 is a deficient number, since it is larger than the sum of its proper divisors (2096997497834).

2101101210112 is an frugal number, since it uses more digits than its factorization.

2101101210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103713319 (or 4103713303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101101210112 its reverse (2110121011012), we get a palindrome (4211222221124).

The spelling of 2101101210112 in words is "two trillion, one hundred one billion, one hundred one million, two hundred ten thousand, one hundred twelve".