101002020001120 has 384 divisors, whose sum is σ = 282903563464704. Its totient is φ = 33361568907264.

The previous prime is 101002020001097. The next prime is 101002020001243. The reversal of 101002020001120 is 21100020200101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101002020001097 and 101002020001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884242252 + ... + 884356468.

It is an arithmetic number, because the mean of its divisors is an integer number (736728029856).

Almost surely, 2^{101002020001120} is an apocalyptic number.

101002020001120 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 101002020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141451781732352).

101002020001120 is an abundant number, since it is smaller than the sum of its proper divisors (181901543463584).

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

101002020001120 is a wasteful number, since it uses less digits than its factorization.

101002020001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114550 (or 114542 counting only the distinct ones).

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

Adding to 101002020001120 its reverse (21100020200101), we get a palindrome (122102040201221).

The spelling of 101002020001120 in words is "one hundred one trillion, two billion, twenty million, one thousand, one hundred twenty".