101120100121120 has 48 divisors (see below), whose sum is σ = 238952303914968. Its totient is φ = 40438547159040.

The previous prime is 101120100121109. The next prime is 101120100121151. The reversal of 101120100121120 is 21121001021101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87553224432144 + 13566875688976 = 9356988^2 + 3683324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101120100121120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73479309 + ... + 74842828.

Almost surely, 2^{101120100121120} is an apocalyptic number.

101120100121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120100121120 is an abundant number, since it is smaller than the sum of its proper divisors (137832203793848).

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

101120100121120 is a wasteful number, since it uses less digits than its factorization.

101120100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148326413 (or 148326405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101120100121120 its reverse (21121001021101), we get a palindrome (122241101142221).

The spelling of 101120100121120 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".