101120120101000 has 256 divisors, whose sum is σ = 317701035025920. Its totient is φ = 29093500800000.

The previous prime is 101120120100941. The next prime is 101120120101003. The reversal of 101120120101000 is 101021021101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101120120101003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49508551 + ... + 51510550.

It is an arithmetic number, because the mean of its divisors is an integer number (1241019668070).

Almost surely, 2^{101120120101000} is an apocalyptic number.

101120120101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120120101000 is an abundant number, since it is smaller than the sum of its proper divisors (216580914924920).

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

101120120101000 is a wasteful number, since it uses less digits than its factorization.

101120120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101019153 (or 101019139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101120120101000 its reverse (101021021101), we get a palindrome (101221141122101).

The spelling of 101120120101000 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty million, one hundred one thousand".