102101020101201 has 24 divisors (see below), whose sum is σ = 149638106615872. Its totient is φ = 61878392215200.

The previous prime is 102101020101187. The next prime is 102101020101203.

102101020101201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102101020101201 - 2¹⁸ = 102101019839057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101020101203) 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 23 ways as a sum of consecutive naturals, for example, 20182140 + ... + 24728946.

Almost surely, 2^{102101020101201} is an apocalyptic number.

102101020101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101020101201 is a deficient number, since it is larger than the sum of its proper divisors (47537086514671).

102101020101201 is a wasteful number, since it uses less digits than its factorization.

102101020101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608693 (or 4608682 counting only the distinct ones).

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

The spelling of 102101020101201 in words is "one hundred two trillion, one hundred one billion, twenty million, one hundred one thousand, two hundred one".