101212100200101 has 32 divisors (see below), whose sum is σ = 147747357597312. Its totient is φ = 61120235554560.

The previous prime is 101212100200067. The next prime is 101212100200121. The reversal of 101212100200101 is 101002001212101.

It is not a de Polignac number, because 101212100200101 - 2²¹ = 101212098102949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212100200121) 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, 9692251 + ... + 17215223.

It is an arithmetic number, because the mean of its divisors is an integer number (4617104924916).

Almost surely, 2^{101212100200101} is an apocalyptic number.

101212100200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212100200101 is a deficient number, since it is larger than the sum of its proper divisors (46535257397211).

101212100200101 is a wasteful number, since it uses less digits than its factorization.

101212100200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524453.

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

Adding to 101212100200101 its reverse (101002001212101), we get a palindrome (202214101412202).

The spelling of 101212100200101 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, two hundred thousand, one hundred one".