101210200010101 has 64 divisors (see below), whose sum is σ = 128101074425856. Its totient is φ = 77821424179200.

The previous prime is 101210200010089. The next prime is 101210200010113. The reversal of 101210200010101 is 101010002012101.

It is an interprime number because it is at equal distance from previous prime (101210200010089) and next prime (101210200010113).

It is not a de Polignac number, because 101210200010101 - 2⁷ = 101210200009973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210200010131) 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, 10083705255 + ... + 10083715291.

It is an arithmetic number, because the mean of its divisors is an integer number (2001579287904).

Almost surely, 2^{101210200010101} is an apocalyptic number.

It is an amenable number.

101210200010101 is a deficient number, since it is larger than the sum of its proper divisors (26890874415755).

101210200010101 is a wasteful number, since it uses less digits than its factorization.

101210200010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20342.

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

Adding to 101210200010101 its reverse (101010002012101), we get a palindrome (202220202022202).

It can be divided in two parts, 1012102000 and 10101, that added together give a palindrome (1012112101).

The spelling of 101210200010101 in words is "one hundred one trillion, two hundred ten billion, two hundred million, ten thousand, one hundred one".