100102100211112 has 16 divisors (see below), whose sum is σ = 187710514315200. Its totient is φ = 50045963060400.

The previous prime is 100102100211053. The next prime is 100102100211119. The reversal of 100102100211112 is 211112001201001.

It is a happy number.

It is a super-2 number, since 2×100102100211112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102100211092 and 100102100211101.

It is not an unprimeable number, because it can be changed into a prime (100102100211119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 635797014 + ... + 635954437.

It is an arithmetic number, because the mean of its divisors is an integer number (11731907144700).

Almost surely, 2^{100102100211112} is an apocalyptic number.

It is an amenable number.

100102100211112 is a deficient number, since it is larger than the sum of its proper divisors (87608414104088).

100102100211112 is a wasteful number, since it uses less digits than its factorization.

100102100211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271761296 (or 1271761292 counting only the distinct ones).

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

Adding to 100102100211112 its reverse (211112001201001), we get a palindrome (311214101412113).

The spelling of 100102100211112 in words is "one hundred trillion, one hundred two billion, one hundred million, two hundred eleven thousand, one hundred twelve".