100102121100201 has 32 divisors (see below), whose sum is σ = 146085304780800. Its totient is φ = 60467048873280.

The previous prime is 100102121100161. The next prime is 100102121100211. The reversal of 100102121100201 is 102001121201001.

It is not a de Polignac number, because 100102121100201 - 2³⁹ = 99552365286313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102121100211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192928960 + ... + 193447118.

It is an arithmetic number, because the mean of its divisors is an integer number (4565165774400).

Almost surely, 2^{100102121100201} is an apocalyptic number.

100102121100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102121100201 is a deficient number, since it is larger than the sum of its proper divisors (45983183680599).

100102121100201 is a wasteful number, since it uses less digits than its factorization.

100102121100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537549.

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

Adding to 100102121100201 its reverse (102001121201001), we get a palindrome (202103242301202).

The spelling of 100102121100201 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, one hundred thousand, two hundred one".