2101102121112 has 32 divisors (see below), whose sum is σ = 5259657786480. Its totient is φ = 699447042560.

The previous prime is 2101102121071. The next prime is 2101102121113. The reversal of 2101102121112 is 2111212011012.

It is a happy number.

It is a super-2 number, since 2×2101102121112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101102121091 and 2101102121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101102121113) 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, 57502053 + ... + 57538580.

Almost surely, 2^{2101102121112} is an apocalyptic number.

It is an amenable number.

2101102121112 is an abundant number, since it is smaller than the sum of its proper divisors (3158555665368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101102121112 is a wasteful number, since it uses less digits than its factorization.

2101102121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115041403 (or 115041399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2101102121112 its reverse (2111212011012), we get a palindrome (4212314132124).

The spelling of 2101102121112 in words is "two trillion, one hundred one billion, one hundred two million, one hundred twenty-one thousand, one hundred twelve".