100110001001211 has 48 divisors (see below), whose sum is σ = 145407972213504. Its totient is φ = 66369786581952.

The previous prime is 100110001001159. The next prime is 100110001001239. The reversal of 100110001001211 is 112100100011001.

It is not a de Polignac number, because 100110001001211 - 2⁹ = 100110001000699 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 = 100110001001193 and 100110001001202.

It is not an unprimeable number, because it can be changed into a prime (100110001001111) 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, 2454438160 + ... + 2454478946.

It is an arithmetic number, because the mean of its divisors is an integer number (3029332754448).

Almost surely, 2^{100110001001211} is an apocalyptic number.

100110001001211 is a deficient number, since it is larger than the sum of its proper divisors (45297971212293).

100110001001211 is a wasteful number, since it uses less digits than its factorization.

100110001001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43120 (or 43117 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110001001211 its reverse (112100100011001), we get a palindrome (212210101012212).

The spelling of 100110001001211 in words is "one hundred trillion, one hundred ten billion, one million, one thousand, two hundred eleven".