1000101002120 has 256 divisors, whose sum is σ = 2545917454080. Its totient is φ = 350429184000.

The previous prime is 1000101002099. The next prime is 1000101002183. The reversal of 1000101002120 is 212001010001.

1000101002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000101002098 and 1000101002107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643979264 + ... + 643980816.

It is an arithmetic number, because the mean of its divisors is an integer number (9944990055).

Almost surely, 2^{1000101002120} is an apocalyptic number.

1000101002120 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 1000101002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272958727040).

1000101002120 is an abundant number, since it is smaller than the sum of its proper divisors (1545816451960).

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

1000101002120 is a wasteful number, since it uses less digits than its factorization.

1000101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

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

Adding to 1000101002120 its reverse (212001010001), we get a palindrome (1212102012121).

The spelling of 1000101002120 in words is "one trillion, one hundred one million, two thousand, one hundred twenty".