1111121200101 has 128 divisors (see below), whose sum is σ = 1695403487232. Its totient is φ = 641571840000.

The previous prime is 1111121200093. The next prime is 1111121200109. The reversal of 1111121200101 is 1010021211111.

It is an interprime number because it is at equal distance from previous prime (1111121200093) and next prime (1111121200109).

It is not a de Polignac number, because 1111121200101 - 2³ = 1111121200093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111121200109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2031299910 + ... + 2031300456.

It is an arithmetic number, because the mean of its divisors is an integer number (13245339744).

Almost surely, 2^{1111121200101} is an apocalyptic number.

1111121200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111121200101 is a deficient number, since it is larger than the sum of its proper divisors (584282287131).

1111121200101 is a wasteful number, since it uses less digits than its factorization.

1111121200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1111121200101 its reverse (1010021211111), we get a palindrome (2121142411212).

It can be divided in two parts, 11111 and 21200101, that added together give a palindrome (21211212).

The spelling of 1111121200101 in words is "one trillion, one hundred eleven billion, one hundred twenty-one million, two hundred thousand, one hundred one".