10102101111211 has 8 divisors (see below), whose sum is σ = 10633979417600. Its totient is φ = 9570241682280.

The previous prime is 10102101111169. The next prime is 10102101111283. The reversal of 10102101111211 is 11211110120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102101111211 - 2¹³ = 10102101103019 is a prime.

It is a super-2 number, since 2×10102101111211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102101111191 and 10102101111200.

It is not an unprimeable number, because it can be changed into a prime (10102101111911) 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 7 ways as a sum of consecutive naturals, for example, 3614271 + ... + 5767768.

It is an arithmetic number, because the mean of its divisors is an integer number (1329247427200).

Almost surely, 2^{10102101111211} is an apocalyptic number.

10102101111211 is a deficient number, since it is larger than the sum of its proper divisors (531878306389).

10102101111211 is an equidigital number, since it uses as much as digits as its factorization.

10102101111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438729.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10102101111211 its reverse (11211110120101), we get a palindrome (21313211231312).

The spelling of 10102101111211 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred eleven thousand, two hundred eleven".