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101120010021 = 3211235556669
BaseRepresentation
bin101111000101100111…
…0001110011100100101
3100200000020010202011100
41132023032032130211
53124043210310041
6114242012430313
710206563621562
oct1361316163445
9320006122140
10101120010021
1139980678218
1217720a78399
1396c6878274
144c73acb869
15296c7246b6
hex178b38e725

101120010021 has 6 divisors (see below), whose sum is σ = 146062236710. Its totient is φ = 67413340008.

The previous prime is 101120010007. The next prime is 101120010037. The reversal of 101120010021 is 120010021101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93544222500 + 7575787521 = 305850^2 + 87039^2 .

It is not a de Polignac number, because 101120010021 - 25 = 101120009989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11235556669 = 101120010021 / (1 + 0 + 1 + 1 + 2 + 0 + 0 + 1 + 0 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120009985 and 101120010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120010721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617778326 + ... + 5617778343.

Almost surely, 2101120010021 is an apocalyptic number.

It is an amenable number.

101120010021 is a deficient number, since it is larger than the sum of its proper divisors (44942226689).

101120010021 is a wasteful number, since it uses less digits than its factorization.

101120010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235556675 (or 11235556672 counting only the distinct ones).

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

Adding to 101120010021 its reverse (120010021101), we get a palindrome (221130031122).

It can be divided in two parts, 101 and 120010021, that multiplied together give a palindrome (12121012121).

The spelling of 101120010021 in words is "one hundred one billion, one hundred twenty million, ten thousand, twenty-one".

Divisors: 1 3 9 11235556669 33706670007 101120010021