100210001102111 has 32 divisors (see below), whose sum is σ = 112146106521600. Its totient is φ = 89051494371840.

The previous prime is 100210001102089. The next prime is 100210001102131. The reversal of 100210001102111 is 111201100012001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210001102111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210001102092 and 100210001102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210001102131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130246016 + ... + 131013146.

It is an arithmetic number, because the mean of its divisors is an integer number (3504565828800).

Almost surely, 2^{100210001102111} is an apocalyptic number.

100210001102111 is a deficient number, since it is larger than the sum of its proper divisors (11936105419489).

100210001102111 is a wasteful number, since it uses less digits than its factorization.

100210001102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771479.

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

Adding to 100210001102111 its reverse (111201100012001), we get a palindrome (211411101114112).

The spelling of 100210001102111 in words is "one hundred trillion, two hundred ten billion, one million, one hundred two thousand, one hundred eleven".