101120002120000 has 140 divisors (see below), whose sum is σ = 251190169740576. Its totient is φ = 40376148160000.

The previous prime is 101120002119971. The next prime is 101120002120057. The reversal of 101120002120000 is 21200021101.

It is a super-3 number, since 3×101120002120000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20274885 + ... + 24765115.

Almost surely, 2^{101120002120000} is an apocalyptic number.

101120002120000 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 101120002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125595084870288).

101120002120000 is an abundant number, since it is smaller than the sum of its proper divisors (150070167620576).

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

101120002120000 is an frugal number, since it uses more digits than its factorization.

101120002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490826 (or 4490801 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101120002120000 its reverse (21200021101), we get a palindrome (101141202141101).

The spelling of 101120002120000 in words is "one hundred one trillion, one hundred twenty billion, two million, one hundred twenty thousand".