100102001210101 has 16 divisors (see below), whose sum is σ = 114950005885440. Its totient is φ = 86211995278320.

The previous prime is 100102001210089. The next prime is 100102001210147. The reversal of 100102001210101 is 101012100201001.

It is a cyclic number.

It is not a de Polignac number, because 100102001210101 - 2¹⁵ = 100102001177333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001210501) 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 15 ways as a sum of consecutive naturals, for example, 117019926 + ... + 117872248.

It is an arithmetic number, because the mean of its divisors is an integer number (7184375367840).

Almost surely, 2^{100102001210101} is an apocalyptic number.

100102001210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102001210101 is a deficient number, since it is larger than the sum of its proper divisors (14848004675339).

100102001210101 is a wasteful number, since it uses less digits than its factorization.

100102001210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414296.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102001210101 its reverse (101012100201001), we get a palindrome (201114101411102).

The spelling of 100102001210101 in words is "one hundred trillion, one hundred two billion, one million, two hundred ten thousand, one hundred one".