120101102000000 has 448 divisors, whose sum is σ = 328078242732240. Its totient is φ = 43430400000000.

The previous prime is 120101101999987. The next prime is 120101102000069. The reversal of 120101102000000 is 201101021.

It is a super-2 number, since 2×120101102000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3981984920 + ... + 3982015080.

Almost surely, 2^{120101102000000} is an apocalyptic number.

120101102000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120101102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164039121366120).

120101102000000 is an abundant number, since it is smaller than the sum of its proper divisors (207977140732240).

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

120101102000000 is an frugal number, since it uses more digits than its factorization.

120101102000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30397 (or 30360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120101102000000 its reverse (201101021), we get a palindrome (120101303101021).

The spelling of 120101102000000 in words is "one hundred twenty trillion, one hundred one billion, one hundred two million", and thus it is an aban number.