100210102011 has 48 divisors (see below), whose sum is σ = 165440957760. Its totient is φ = 58069186560.

The previous prime is 100210102007. The next prime is 100210102033. The reversal of 100210102011 is 110201012001.

It is a happy number.

It is not a de Polignac number, because 100210102011 - 2² = 100210102007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100210101984 and 100210102002.

It is not an unprimeable number, because it can be changed into a prime (100210102051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388930 + ... + 593031.

It is an arithmetic number, because the mean of its divisors is an integer number (3446686620).

Almost surely, 2^100210102011 is an apocalyptic number.

100210102011 is a deficient number, since it is larger than the sum of its proper divisors (65230855749).

100210102011 is a wasteful number, since it uses less digits than its factorization.

100210102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982036 (or 982033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210102011 its reverse (110201012001), we get a palindrome (210411114012).

The spelling of 100210102011 in words is "one hundred billion, two hundred ten million, one hundred two thousand, eleven".