100102001000211 has 24 divisors (see below), whose sum is σ = 165248776209920. Its totient is φ = 57200787400176.

The previous prime is 100102001000107. The next prime is 100102001000273. The reversal of 100102001000211 is 112000100201001.

It is a happy number.

It is not a de Polignac number, because 100102001000211 - 2¹⁵ = 100102000967443 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102001000193 and 100102001000202.

It is not an unprimeable number, because it can be changed into a prime (100102001005211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5428710 + ... + 15155028.

Almost surely, 2^{100102001000211} is an apocalyptic number.

100102001000211 is a deficient number, since it is larger than the sum of its proper divisors (65146775209709).

100102001000211 is a wasteful number, since it uses less digits than its factorization.

100102001000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889695 (or 9889692 counting only the distinct ones).

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

Adding to 100102001000211 its reverse (112000100201001), we get a palindrome (212102101201212).

The spelling of 100102001000211 in words is "one hundred trillion, one hundred two billion, one million, two hundred eleven", and thus it is an aban number.