102101101212100 has 18 divisors (see below), whose sum is σ = 221559389630474. Its totient is φ = 40840440484800.

The previous prime is 102101101212079. The next prime is 102101101212101. The reversal of 102101101212100 is 1212101101201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8222946234624 + 93878154977476 = 2867568^2 + 9689074^2 .

It is not an unprimeable number, because it can be changed into a prime (102101101212101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510505505961 + ... + 510505506160.

Almost surely, 2^{102101101212100} is an apocalyptic number.

102101101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101101212100 is an abundant number, since it is smaller than the sum of its proper divisors (119458288418374).

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

102101101212100 is a wasteful number, since it uses less digits than its factorization.

102101101212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021011012135 (or 1021011012128 counting only the distinct ones).

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

Adding to 102101101212100 its reverse (1212101101201), we get a palindrome (103313202313301).

It can be divided in two parts, 102101101 and 212100, that added together give a palindrome (102313201).

The spelling of 102101101212100 in words is "one hundred two trillion, one hundred one billion, one hundred one million, two hundred twelve thousand, one hundred".