101211131103120 has 120 divisors (see below), whose sum is σ = 349087221198456. Its totient is φ = 26260185360384.

The previous prime is 101211131103079. The next prime is 101211131103149. The reversal of 101211131103120 is 21301131112101.

101211131103120 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 131 + 10 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27611409678336 + 73599721424784 = 5254656^2 + 8579028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101211131103093 and 101211131103102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899581677 + ... + 1899634956.

Almost surely, 2^{101211131103120} is an apocalyptic number.

101211131103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211131103120 is an abundant number, since it is smaller than the sum of its proper divisors (247876090095336).

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

101211131103120 is a wasteful number, since it uses less digits than its factorization.

101211131103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799216689 (or 3799216680 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101211131103120 its reverse (21301131112101), we get a palindrome (122512262215221).

The spelling of 101211131103120 in words is "one hundred one trillion, two hundred eleven billion, one hundred thirty-one million, one hundred three thousand, one hundred twenty".