2101102100010 has 48 divisors (see below), whose sum is σ = 5463383838120. Its totient is φ = 560240726400.

The previous prime is 2101102099939. The next prime is 2101102100081. The reversal of 2101102100010 is 100012011012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101102099939) and next prime (2101102100081).

It can be written as a sum of positive squares in 4 ways, for example, as 1088802510849 + 1012299589161 = 1043457^2 + 1006131^2 .

It is a super-4 number, since 4×2101102100010⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101102099965 and 2101102100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149341 + ... + 2055360.

Almost surely, 2^{2101102100010} is an apocalyptic number.

2101102100010 is an abundant number, since it is smaller than the sum of its proper divisors (3362281738110).

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

2101102100010 is a wasteful number, since it uses less digits than its factorization.

2101102100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215303 (or 2215300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101102100010 its reverse (100012011012), we get a palindrome (2201114111022).

The spelling of 2101102100010 in words is "two trillion, one hundred one billion, one hundred two million, one hundred thousand, ten".