101210110102101 has 64 divisors (see below), whose sum is σ = 181242739593216. Its totient is φ = 48517478668800.

The previous prime is 101210110102043. The next prime is 101210110102139. The reversal of 101210110102101 is 101201011012101.

It is not a de Polignac number, because 101210110102101 - 2¹⁵ = 101210110069333 is a prime.

It is a super-2 number, since 2×101210110102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210110101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4671025 + ... + 14974601.

It is an arithmetic number, because the mean of its divisors is an integer number (2831917806144).

Almost surely, 2^{101210110102101} is an apocalyptic number.

101210110102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101210110102101 is a deficient number, since it is larger than the sum of its proper divisors (80032629491115).

101210110102101 is a wasteful number, since it uses less digits than its factorization.

101210110102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306882.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101210110102101 its reverse (101201011012101), we get a palindrome (202411121114202).

The spelling of 101210110102101 in words is "one hundred one trillion, two hundred ten billion, one hundred ten million, one hundred two thousand, one hundred one".