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1010120020101 = 324114271918327
BaseRepresentation
bin11101011001011111101…
…10000101000010000101
310120120022000000201020100
432230233312011002011
5113022211211120401
62052013121354313
7132656500334553
oct16545766050205
93516260021210
101010120020101
1135a431465875
12143927198999
137433bab910a
1436c664ccbd3
151b41ee30b86
hexeb2fd85085

1010120020101 has 24 divisors (see below), whose sum is σ = 1495697321664. Its totient is φ = 656527890240.

The previous prime is 1010120020081. The next prime is 1010120020123. The reversal of 1010120020101 is 1010200210101.

It is a happy number.

1010120020101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010120020101 - 215 = 1010119987333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010120020201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432601 + ... + 1485726.

It is an arithmetic number, because the mean of its divisors is an integer number (62320721736).

Almost surely, 21010120020101 is an apocalyptic number.

It is an amenable number.

1010120020101 is a deficient number, since it is larger than the sum of its proper divisors (485577301563).

1010120020101 is a wasteful number, since it uses less digits than its factorization.

1010120020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919801 (or 1919798 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010120020101 its reverse (1010200210101), we get a palindrome (2020320230202).

The spelling of 1010120020101 in words is "one trillion, ten billion, one hundred twenty million, twenty thousand, one hundred one".

Divisors: 1 3 9 41 123 369 1427 4281 12843 58507 175521 526563 1918327 5754981 17264943 78651407 235954221 707862663 2737452629 8212357887 24637073661 112235557789 336706673367 1010120020101