10020101201334 has 192 divisors, whose sum is σ = 25553371484160. Its totient is φ = 2777749562880.

The previous prime is 10020101201281. The next prime is 10020101201347. The reversal of 10020101201334 is 43310210102001.

10020101201334 is a `hidden beast` number, since 10 + 0 + 20 + 101 + 201 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4857052387 + ... + 4857054449.

It is an arithmetic number, because the mean of its divisors is an integer number (133090476480).

Almost surely, 2^{10020101201334} is an apocalyptic number.

10020101201334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020101201334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776685742080).

10020101201334 is an abundant number, since it is smaller than the sum of its proper divisors (15533270282826).

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

10020101201334 is a wasteful number, since it uses less digits than its factorization.

10020101201334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10020101201334 its reverse (43310210102001), we get a palindrome (53330311303335).

The spelling of 10020101201334 in words is "ten trillion, twenty billion, one hundred one million, two hundred one thousand, three hundred thirty-four".