100210211021011 has 16 divisors (see below), whose sum is σ = 124306791153664. Its totient is φ = 78662891258784.

The previous prime is 100210211020991. The next prime is 100210211021029. The reversal of 100210211021011 is 110120112012001.

It is a happy number.

It is not a de Polignac number, because 100210211021011 - 2⁵ = 100210211020979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100210211020982 and 100210211021000.

It is not an unprimeable number, because it can be changed into a prime (100210211021051) 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 15 ways as a sum of consecutive naturals, for example, 4335465255 + ... + 4335488368.

It is an arithmetic number, because the mean of its divisors is an integer number (7769174447104).

Almost surely, 2^{100210211021011} is an apocalyptic number.

100210211021011 is a deficient number, since it is larger than the sum of its proper divisors (24096580132653).

100210211021011 is a wasteful number, since it uses less digits than its factorization.

100210211021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670953770.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100210211021011 its reverse (110120112012001), we get a palindrome (210330323033012).

The spelling of 100210211021011 in words is "one hundred trillion, two hundred ten billion, two hundred eleven million, twenty-one thousand, eleven".