10211300102101 has 16 divisors (see below), whose sum is σ = 12284504233600. Its totient is φ = 8291725221888.

The previous prime is 10211300102083. The next prime is 10211300102119. The reversal of 10211300102101 is 10120100311201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10211300102083) and next prime (10211300102119).

It is a cyclic number.

It is not a de Polignac number, because 10211300102101 - 2¹⁹ = 10211299577813 is a prime.

It is a super-2 number, since 2×10211300102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211300102131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6569365 + ... + 7973653.

It is an arithmetic number, because the mean of its divisors is an integer number (767781514600).

Almost surely, 2^{10211300102101} is an apocalyptic number.

It is an amenable number.

10211300102101 is a deficient number, since it is larger than the sum of its proper divisors (2073204131499).

10211300102101 is a wasteful number, since it uses less digits than its factorization.

10211300102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458988.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10211300102101 its reverse (10120100311201), we get a palindrome (20331400413302).

The spelling of 10211300102101 in words is "ten trillion, two hundred eleven billion, three hundred million, one hundred two thousand, one hundred one".