101001121100120 has 16 divisors (see below), whose sum is σ = 227252522475360. Its totient is φ = 40400448440032.

The previous prime is 101001121100093. The next prime is 101001121100171. The reversal of 101001121100120 is 21001121100101.

It is a super-2 number, since 2×101001121100120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262514013712 + ... + 1262514013791.

It is an arithmetic number, because the mean of its divisors is an integer number (14203282654710).

Almost surely, 2^{101001121100120} is an apocalyptic number.

101001121100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001121100120 is an abundant number, since it is smaller than the sum of its proper divisors (126251401375240).

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

101001121100120 is a wasteful number, since it uses less digits than its factorization.

101001121100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525028027514 (or 2525028027510 counting only the distinct ones).

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

Adding to 101001121100120 its reverse (21001121100101), we get a palindrome (122002242200221).

The spelling of 101001121100120 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".