10020001121988 has 384 divisors, whose sum is σ = 28426463170560. Its totient is φ = 2728988697600.

The previous prime is 10020001121971. The next prime is 10020001121989. The reversal of 10020001121988 is 88912110002001.

10020001121988 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 (33).

It is not an unprimeable number, because it can be changed into a prime (10020001121989) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6189005443 + ... + 6189007061.

It is an arithmetic number, because the mean of its divisors is an integer number (74027247840).

Almost surely, 2^{10020001121988} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020001121988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213231585280).

10020001121988 is an abundant number, since it is smaller than the sum of its proper divisors (18406462048572).

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

10020001121988 is a wasteful number, since it uses less digits than its factorization.

10020001121988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

Adding to 10020001121988 its reverse (88912110002001), we get a palindrome (98932111123989).

The spelling of 10020001121988 in words is "ten trillion, twenty billion, one million, one hundred twenty-one thousand, nine hundred eighty-eight".