100102100211201 has 64 divisors (see below), whose sum is σ = 154343819160576. Its totient is φ = 57034121472000.

The previous prime is 100102100211193. The next prime is 100102100211229. The reversal of 100102100211201 is 102112001201001.

It is not a de Polignac number, because 100102100211201 - 2³ = 100102100211193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100102100211251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3108455166 + ... + 3108487368.

It is an arithmetic number, because the mean of its divisors is an integer number (2411622174384).

Almost surely, 2^{100102100211201} is an apocalyptic number.

100102100211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102100211201 is a deficient number, since it is larger than the sum of its proper divisors (54241718949375).

100102100211201 is a wasteful number, since it uses less digits than its factorization.

100102100211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38382.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102100211201 its reverse (102112001201001), we get a palindrome (202214101412202).

The spelling of 100102100211201 in words is "one hundred trillion, one hundred two billion, one hundred million, two hundred eleven thousand, two hundred one".