100211000101110 has 48 divisors (see below), whose sum is σ = 275874988517856. Its totient is φ = 25150996103424.

The previous prime is 100211000101109. The next prime is 100211000101111. The reversal of 100211000101110 is 11101000112001.

It is an interprime number because it is at equal distance from previous prime (100211000101109) and next prime (100211000101111).

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 = 100211000101092 and 100211000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211000101111) 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 23 ways as a sum of consecutive naturals, for example, 32748691314 + ... + 32748694373.

It is an arithmetic number, because the mean of its divisors is an integer number (5747395594122).

Almost surely, 2^{100211000101110} is an apocalyptic number.

100211000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100211000101110 is an abundant number, since it is smaller than the sum of its proper divisors (175663988416746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100211000101110 is a wasteful number, since it uses less digits than its factorization.

100211000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65497385717 (or 65497385714 counting only the distinct ones).

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

Adding to 100211000101110 its reverse (11101000112001), we get a palindrome (111312000213111).

The spelling of 100211000101110 in words is "one hundred trillion, two hundred eleven billion, one hundred one thousand, one hundred ten".