101010102010211 has 8 divisors (see below), whose sum is σ = 106961602003344. Its totient is φ = 95059683048960.

The previous prime is 101010102010187. The next prime is 101010102010219. The reversal of 101010102010211 is 112010201010101.

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 101010102010211 - 2¹⁸ = 101010101748067 is a prime.

It is a super-2 number, since 2×101010102010211² (a number of 29 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 = 101010102010192 and 101010102010201.

It is not an unprimeable number, because it can be changed into a prime (101010102010219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270065585 + ... + 270439346.

It is an arithmetic number, because the mean of its divisors is an integer number (13370200250418).

Almost surely, 2^{101010102010211} is an apocalyptic number.

101010102010211 is a deficient number, since it is larger than the sum of its proper divisors (5951499993133).

101010102010211 is a wasteful number, since it uses less digits than its factorization.

101010102010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540515941.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101010102010211 its reverse (112010201010101), we get a palindrome (213020303020312).

The spelling of 101010102010211 in words is "one hundred one trillion, ten billion, one hundred two million, ten thousand, two hundred eleven".