100101102010211 has 16 divisors (see below), whose sum is σ = 110079064919040. Its totient is φ = 90667801150560.

The previous prime is 100101102010177. The next prime is 100101102010277. The reversal of 100101102010211 is 112010201101001.

It is a de Polignac number, because none of the positive numbers 2^k-100101102010211 is a prime.

It is a super-4 number, since 4×100101102010211⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101102010192 and 100101102010201.

It is not an unprimeable number, because it can be changed into a prime (100101102010711) 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, 1023751940 + ... + 1023849713.

It is an arithmetic number, because the mean of its divisors is an integer number (6879941557440).

Almost surely, 2^{100101102010211} is an apocalyptic number.

100101102010211 is a deficient number, since it is larger than the sum of its proper divisors (9977962908829).

100101102010211 is a wasteful number, since it uses less digits than its factorization.

100101102010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047601786.

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

Adding to 100101102010211 its reverse (112010201101001), we get a palindrome (212111303111212).

The spelling of 100101102010211 in words is "one hundred trillion, one hundred one billion, one hundred two million, ten thousand, two hundred eleven".